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Conf., Las Cruces, N.M., 1976)", series = "Lecture Notes in Math.", publisher = "Springer", address = "Berlin", volume = 616, year = 1977, pages = "140--157", note = "MathSciNet review: 58 {\#}5978", } @article{HI2, author = "Hill, Paul", title = "An isomorphism theorem for valuated vector spaces", journal = "Proc. Amer. Math. Soc.", volume = 88, number = 4, year = 1983, pages = "587--590", note = "MathSciNet review: 85a:18008", } @article{HI-ME, author = "Hill, Paul and Megibben, Charles", title = "On the {T}heory and {C}lassification of {A}belian $p$-groups", journal = "Math. Z.", volume = 190, number = 1, year = 1985, pages = "17--38", note = "MathSciNet review: 86k:20049", } @article{HI-MO, author = "Hill, Paul and Mott, Joe L.", title = "Embedding theorems and generalized discrete ordered abelian groups", journal = "Trans. Amer. Math. 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Wiss.", series = "Math.-Natur. Kl.", booktitle = "Sitzungsberichte", year = 1928, volume = 7, } @article{KRU3, author = "Krull, Wolfgang", title = "Idealtheorie in unendlichen algebraischen {Z}ahlk{\"o}rpern {II}", journal = "Math. Z.", year = 1930, volume = 30, pages = "527--557", } @article{KRU4, author = "Krull, Wolfgang", title = " Ein {S}atz {\"u}ber prim{\"a}re {I}ntegrit{\"a}tsbereich", journal = "Math.Ann.", year = 1930, volume = 103, pages = "450--465", } @article{KRU5, author = "Krull, Wolfgang", title = "{\"U}ber die {Z}erlegung der {H}auptideale in allgemeinen {R}ingen", journal = "Math.Ann.", year = 1931, volume = 105, pages = "1--14", } @incollection{KRU6, author = "Krull, Wolfgang", title = "Galoissche {T}heorie bewerteter {K}{\"o}rper", publisher = "Akad. Wiss. M{\"u}nchen", booktitle = "Sitzungsberichte", year = 1931, volume = 105, pages = "1--14", } @book{KRU8, author = "Krull, Wolfgang", title = "Idealtheorie ", series= "Ergeb. Math. Grenzgeb.", publisher = "Springer", address = "Berlin", year = 1935, volume = 4, } @article{KRU9, author = "Krull, Wolfgang", title = "{\"U}ber unendliche algebraische {E}rweiterungen bewerteter {K}{\"o}rper ", journal = "Rend. Circ. Mat. Palermo (2)", year = 1952, volume = 1, pages = "164--169", note = "MathSciNet review: 14,840e", } @article{KRU10, author = "Krull, Wolfgang", title = "Charakterentopologie, {I}somorphismentopologie und {B}ewertungstopologie ", journal = "Mem. Mat. 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(2)", volume = 41, year = 1940, pages = "751--753", note = "MathSciNet review: 2,123a", } @article{SCH-MAC, author = "Schmidt, F. K. and MacLane, Saunders", title = "The generation of inseparable fields", journal = "Proc. Nat. Acad. Sci. U. S. A.", volume = 27, year = 1941, pages = "583--587", note = "MathSciNet review: 3,263b", } @inproceedings{CO-MA-HE, author = "Cohn, Paul Moritz and Mahdavi-Hezavehi, M.", title = "Extensions of valuations on skew fields", booktitle = "Ring theory, Antwerp 1980 (Proc. Conf., Univ. Antwerp, Antwerp, 1980)", series = "Lecture Notes in Math.", publisher = "Springer", address = "Berlin", pages = "28--41", volume = 825, year = 1980, note = "MathSciNet review: 81m:12024", } @article{COH-MAH, author = "Cohn, Paul and Mahler, Kurt", title = "On the composition of pseudo-valuations", journal = "Nieuw Arch. Wiskunde (3)", volume = 1, year = 1953, pages = "161--198", note = "MathSciNet review: 15,395a", } @article{MAH2, author = "Mahler, Kurt", title = "An interpolation series for continuous functions of a $p$-adic variable", journal = "J. Reine Angew. Math.", volume = 199, year = 1958, pages = "23--24", note = "MathSciNet review: 20 {\#}2321", } @article{MAN1, author = "Manley, P. L.", title = "A note on valuation fields", journal = "Bull. Calcutta Math. Soc.", volume = 69, year = 1977, number = 6, pages = "349--351", note = "MathSciNet review: 81c:12038", } @article{MATH1, author = "Mathiak, Karl", title = "Bewertungen nicht kommutativer {K}{\"o}rper. ({G}erman)", journal = "J. Algebra", volume = 48, year = 1977, number = 2, pages = "217--235", note = "MathSciNet review: 58 {\#}5614", } @article{MATH2, author = "Mathiak, Karl", title = "Zur Bewertungstheorie nicht kommutativer {K}{\"o}rper. ({G}erman)", journal = "J. 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({F}rench)", publisher = "Secr{\'e}tariat Math.", year = 1968, series = "S{\'e}minaire Delange-Pisot-Poitou: 1966/67, Th{\'e}orie des Nombres Fasc. 2, Expose 14", address = "Paris", note = "MathSciNet review: 40~{\#}144", } @article{STRA1, author = "Strano, Rosario", title = "Sulla henselizzazione stretta di un corpo valutato", journal = " Ann. Univ. Ferrara VII (N.S.))", volume = 21, year = 1975, pages = "117--130", note = "MathSciNet review: 53 {\#}5579", } @article{STRA2, author = "Strano, Rosario", title = "Alcune proprietŕ dei corpi henseliani", journal = " Ann. Univ. Ferrara VII (N.S.))", volume = 21, year = 1975, pages = "69--86", note = "MathSciNet review: 53 {\#}5552", } @article{SZP1, author = "Szpiro, Lucien", title = "Fonctions d'ordre et valuations. ({F}rench)", journal = "Bull. Soc. Math. France", volume = 94, year = 1966, pages = "301--311", note = "MathSciNet review: 36 {\#}2613", } @article{VAL1, author = "Valabrega, Paolo ", title = "Anelli Henseliani topologici {I}, {II}. ({I}talian)", journal = "Ann. Mat. Pura Appl. (4)", volume = 91, year = 1972, pages = "283--303, 305--316", note = "MathSciNet review: 47 {\#}1806", } @article{VID1, author = "Vidal, Robert", title = "Anneaux de valuation discr{\`e}te, complets, non n{\'e}cessairement commutatifs", journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B", volume = 283, year = 1976, number = 6, pages = "A281--A284", note = "MathSciNet review: 55 {\#}387", } @article{VID2, author = "Vidal, Robert", title = " Un exemple d'anneau de valuation discr{\`e}te complet, non commutatif qui n'est pas un anneau de {C}ohen. ({F}rench)", journal = "C. R. Acad. Sci. Paris S{\'e}r. A-B", volume = 284, year = 1977, number = 23, pages = "A1489--A1492", note = "MathSciNet review: 55 {\#}12773 ", } @article{VID3, author = "Vidal, Robert", title = "Anneaux de valuation discr{\`e}te complets non commutatifs. ({F}rench)", journal = "Trans. Amer. Math. Soc. ", volume = 267, year = 1981, number = 1, pages = "65--81", note = "MathSciNet review: 82j:16008", } @article{VIS1, author = " Viswanathan, T. M.", title = "A characterisation of Henselian valuations via the norm", journal = "Bol. Soc. Brasil. Mat.", volume = 4, year = 1973, number = 1, pages = "51--53", note = "MathSciNet review: 50 {\#}7109 ", } @article{VIS2, author = " Viswanathan, T. M.", title = "Hahn valuations and (locally) compact rings", journal = "J. Algebra", volume = 17, year = 1971, number = 1, pages = "94--109", note = "MathSciNet review: 42 {\#}4465", } @article{WAD, author = "Wadsworth, Adrian R.", title = "Extending valuations to finite-dimensional division algebras", journal = "Proc. Amer. Math. Soc.", volume = 98, year = 1986, number = 1, pages = " 20--22", note = "MathSciNet review: 87i:16025", } @article{WA5, author = "Warner, Seth", title = "Half Henselian valuations", journal = "C. R. Math. Rep. Acad. Sci. Canada", volume = 6, year = 1984, number = 5, pages = "255--259", note = "MathSciNet review: 86e:12012", } @article{WRI1, author = "Wright, Michael J.", title = "On the number of prolongations of a finite rank valuation", journal = "Canad. J. Math.", volume = 23, year = 1971, pages = "553--556", note = "MathSciNet review: 44 {\#}6698", } @article{ZEL2, author = "Zelinsky, Daniel", title = "Complete fields from local rings", journal = "Proc. Nat. Acad. Sci. U. S. A.", volume = 37, year = 1951, pages = "379--381", note = "MathSciNet review: 13,7h", } @mastersthesis{KU6, author = "Kuhlmann, Franz-Viktor", title = "Zur Konstruktion von rationalen Stellen $p$-adischer und anderer bewerteter Funktionenkoerper", school = "University of Muenster", year = 1981, } @phdthesis{KU7, author = "Kuhlmann, Franz-Viktor", title = "Henselian function fields", school = "University of Heidelberg", year = 1989, } @misc{KU8, author = "Kuhlmann, Franz-Viktor", title = "Valuation theory of fields, abelian groups and modules", howpublished = "Habilitation", year = "1994/95", } @article{KU-KUS-SHE, author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma and Shelah, Saharon ", title = "Exponentiation in power series fields", journal = "Proc. Amer. Math. Soc. ", year = 1997, volume = 125, number = 11, pages = "3177--3183", note = "MathSciNet review: 97m:12007", } @incollection{KU-KUS2, author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma and Shelah, Saharon ", title = "Ax-{K}ochen-{E}rshov principles for valued and ordered vector spaces", booktitle= "Ordered algebraic structures (Cura{\c{c}}ao, 1995)", publisher = "Kluwer Acad. Publ.", address = "Dordrecht", year = 1997, pages = "237--259", note = "MathSciNet review: 98h:03049", } @inproceedings{KU9, author = "Kuhlmann, Franz-Viktor", title = "Generalized {A}x-{K}ochen-{E}rshov-principles", booktitle = "Proceedings of the 8th Easter Conference on Model Theory (Wendisch-Rietz, 1990)", series = "Seminarberichte", volume = 110, pages = "113--120", publisher = "Humboldt Univ.", address = "Berlin", year = 1990, note = "MathSciNet review: 1 107 761", } @inproceedings{KU10, author = "Kuhlmann, Franz-Viktor", title = "Some remarks on maximality properties of valued fields", booktitle = "Proceedings of the fourth Easter conference on model theory (Gross K{\"o}ris, 1986)", series = "Seminarberichte", volume = 86, pages = "137--142", publisher = "Humboldt Univ.", address = "Berlin", year = 1986, note = "MathSciNet review: 884 724", } @article{KUS4, author = "Kuhlmann, Salma", title = "Valuation bases for extensions of valued vector spaces", journal = "Forum Math. ", year = 1996, volume = 8, number = 6, pages = "723--735", note = "MathSciNet review: 97h:12015", } @article{KUS5, author = "Kuhlmann, Salma", title = "Isomorphisms of lexicographic powers of the reals", journal = "Proc. Amer. Math. Soc.", year = 1995, volume = 123, number = 9, pages = "2657--2662", note = "MathSciNet review: 95k:06001", } @article{All-KUS, author = "Alling, Norman L. and Kuhlmann, Salma", title = "On $\eta\sb \alpha$-groups and fields", journal = "Order", year = 1994, volume = 11, number = 1, pages = "85--92", note = "MathSciNet review: 95h:06001", } @article{KUS6, author = "Kuhlmann, Salma", title = "Groupes ab{\'e}liens divisibles ordonn{\'e}s. ({F}rench)", journal = "Proc. Amer. Math. Soc.", year = 1995, volume = 123, number = 9, pages = "2657--2662", note = "MathSciNet review: 95k:06001", } @book{KUS7, author = "Kuhlmann, Salma", title = "Groupes ab{\'e}liens divisibles ordonn{\'e}s. ({F}rench)", series = "S{\'e}minaire sur les Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ", volume = 1, publisher = " Publ. Math. Univ. Paris VII", address = "Paris", organization = "Universit{\'e} Paris {VII}", year = 1990, note = "MathSciNet review: 91k:03093", } @unpublished{KU-KUS3, author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma", title = "The exponential rank of nonarchimedean exponential fields", note = "to appear in the Proceedings of the Special Semester in Real Algebraic Geometry and Ordered Structures, Baton Rouge 1996; prepublication in: The Fields Institute Preprint Series, Toronto (June 1997), 21 pages; also in: Structures Algebriques Ordonnees, Seminaire Paris VII (1997)", } @unpublished{KU11, author = "Kuhlmann, Franz-Viktor", title = "Valuation theoretic and model theoretic aspects of local uniformization", note = " [to appear in the Proceedings of the Conference on the Resolution of Singularities Tirol 1997, 79 pages]", } @inproceedings{KU12, author = "Kuhlmann, Franz-Viktor", title = "Some valuation theoretical concepts for the examination of the model theory of valued fields", booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ", series = "Seminaire 1985-1986", organization = "Universit{\'e} Paris {VII}", year = 1986, } @inproceedings{KU13, author = "Kuhlmann, Franz-Viktor", title = "Maximality properties of valued fields: some new results", booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ", series = "Seminaire 1986-1987", organization = "Universit{\'e} Paris {VII}", year = 1987, } @inproceedings{KU14, author = "Kuhlmann, Franz-Viktor", title = "The model theory of valued fields - a short survey", booktitle = "Proceedings of the Fifth Easter Conference on Model Theory", series = "Seminarberichte", volume = 93, publisher = "Humboldt Univ.", address = "Berlin", year = 1987, } @techreport{KU-KUS4, author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma", title = "Residue fields of arbitrary convex valuations on restricted analytic fields with exponentiation {I}", institution = "The Fields Institute ", address = "Toronto", year = 1996, note = "also in: Structures Algebriques Ordonnees, Seminaire Paris VII (1997) ", } @techreport{KU15, author = "Kuhlmann, Franz-Viktor", title = "Introduction to ramification theory", institution = "The Fields Institute", year = 1997, note = "Conference handout", } @inproceedings{KU-KUS5, author = "Kuhlmann, Franz-Viktor and Kuhlmann, Salma", title = "Explicit construction of exponential-logarithmic power series", booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ", series = "Seminaire ", organization = "Universit{\'e} Paris {VII}", year = 1997, } @techreport{KU16, author = "Kuhlmann, Franz-Viktor", title = "Valuation independence: a characterization of the Galois groups of tame valued field extensions", institution = "The Fields Institute", year = "1997", } @techreport{KU17, author = "Kuhlmann, Franz-Viktor", title = "A theorem on spherically complete valued abelian groups", institution = "The Fields Institute", year = "1997", } @techreport{KU18, author = "Kuhlmann, Franz-Viktor", title = "On local uniformization in arbitrary characteristic", institution = "The Fields Institute", year = "1997", } @misc{KU19, author = "Kuhlmann, Franz-viktor and Lombardi, H.", title = "Construction du hens'elis'e d'un corps valu'e", note = "Prepublications de l'Equipe de Math'ematiques de Besancon (1998) ", } @misc{KU20, author = "Kuhlmann, Franz-Viktor", title = "Elementary properties of power series fields over finite fields", institution = "The Fields Institute", year = 1998, note = "prepublication in: Structures Algebriques Ordonnees, Seminaire Paris VII (1997), and submitted to J. Symb. Logic", } @misc{KUS8, author = "Kuhlmann, Salma", title = "Infinitary properties for valued and ordered vector spaces", institution = "The Fields Institute", year = 1997, note = "[to appear in the J. Symb. Logic]", } @inproceedings{KUS9, author = "Kuhlmann, Salma", title = "Chaines uniquements transitives", booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ", series = "Seminaire 1985-1986", organization = "Universit{\'e} Paris {VII}", year = 1986, } @inproceedings{KUS10, author = "Kuhlmann, Salma", title = "A remark on the classification problem for ordered structures", booktitle = "Structures {A}lg{\'{e}}briques {O}rdonn{\'{e}}es ", series = "Seminaire 1987-1988", organization = "Universit{\'e} Paris {VII}", year = 1988, } @article{AR4, author = "Artin, Emil", title = "{\"{U}}ber die {B}ewertungen algebraischer Zahlk{\"o}rper", journal = "J. Reine Angew. Math.", volume = 167, pages = "157--159", year = 1932, } @book{BENZ2, author = "Benz, Herbert", title = "{\"{U}}ber eine {B}ewertungstheorie der {A}lgebren und ihre {B}edeuting fur die {A}rithmetik", series = "Schriftenreihe Inst. Math. Deutsch. Akad. Wiss. Berlin", publisher = "Akademie-Verlag", address = "Berlin", year = 1961, } @article{COH-SEI, author = "Cohen, Irving S. and Seidenberg, A.", title = " Prime ideals and integral dependence", journal = "Bull. Amer. Math. Soc.", volume = 52, year = 1946, pages = "252--261", note = "MathSciNet review: 7,410a", } @article{COH1, author = "Cohen, Irving S.", title = " On non-{A}rchimedean normed spaces", journal = "Indagationes Math.", volume = 10, year = 1948, pages = "244--249", note = "[also in: Nederl. Akad. Wetensch., Proc. 51, (1948) 693--698.] MathSciNet review: 10,48a", } @article{TAI1, author = "Tai, Zitzung", title = "Pseudokonvergenz und die {P}erfektheit bewerteter {K}{\"o}rper. ({C}hinese)", journal = "Acta Math. Sinica", volume = 5, year = 1955, pages = "489--495", note = "[author also known as: Zhi-zhong Dai] MathSciNet review: 17,939b", } @article{TAI2, author = "Tai, Zitzung", title = "On discrete valuations", journal = " Chinese Math.", volume = 4, year = 1963, pages = "18--23", note = "[author also known as: Zhi-zhong Dai] MathSciNet review: 29 {\#}2252", } @article{TAI3, author = "Tai, Zitzung", title = "On complete fields with multiple valuation. ({C}hinese)", journal = "Shuxue Jinzhan", volume = 9, year = 1966, pages = "401--406", note = "[author also known as: Zhi-zhong Dai] MathSciNet review: 40 {\#}5593", } @book{DIA4, author ="Dai, Zitzung", title = "Fuzhi lun gaiyao. ({C}hinese) [Elements of valuation theory]", series = "Gaodeng Xuexiao Jiaoxue Cankao Shu. [Advanced Textbooks and Reference Works]", publisher = "Renmin Jiaoyu Chubanshe", address = "Beijing", year = 1981, note = "[author also known as: Zhi-zhong Tai] MathSciNet review: 87i:12020", } @article{ZEN-DAI1, author = "Zeng, Guang Xing and Dai, Zhi-zhong", title = "Real Hilbert rings. ({C}hinese)", journal = "Acta Math. Sinica", volume = 40, year = 1997, number = 2, pages = "175--184", note = "[author also known as: Zhi-zhong Tai] MathSciNet review: 98i:13042", } @incollection{ZEN-DAI2, author = "Zeng, Guang Xing and Dai, Zhi-zhong", title = "Valuation theory and generalizations of {H}ilbert's 17th problem", booktitle = "Rings, groups, and algebras", sereis = "Lecture Notes in Pure and Appl. Math.", volume = 181, publisher = "Dekker", address = "New York", year = 1996, pages = "39--50", note = "[author also known as: Zhi-zhong Tai] MathSciNet review: 97g:12006", } @article{DIA5, author =" Dai, Zhi-zhong", title = "Real places and real valuations on a commutative ring", journal = " Acta Math. Sinica (N.S.)", volume = 10, year = 1994, pages = "24--29", note = "[special issue.] [author also known as: Zhi-zhong Tai] MathSciNet review: 95b:13003", } @article{DIA6, author ="Dai, Zhi-zhong", title = "Preorderings and real places of a commutative ring. ({C}hinese)", journal = " Acta Math. Sinica ", volume = 36, year = 1993, number = 4, pages = "441--450", note = "[author also known as: Zhi-zhong Tai] MathSciNet review: 94m:13032", } @article{DIA7, author ="Dai, Zhi-zhong", title = "Some remarks on ordered fields. ({C}hinese)", journal = "J. Math. Res. Exposition", volume = 2, year = 1982, number = 2, pages = "7--10", note = "[author also known as: Zhi-zhong Tai] MathSciNet review: 83m:12042", } @article{DIA8, author ="Dai, Zhi-zhong", title = "Henselian valued fields. ({C}hinese)", journal = "J. Math. Res. Exposition", volume = 2, year = 1982, number = 1, pages = "153--161", note = "[author also known as: Zhi-zhong Tai] MathSciNet review: 83k:12024", } @article{TAI9, author = "Tai, Zhi-zhong", title = "Riemann-Roch theorem for the algebraic function domains of one variable. ({C}hinese)", journal = "Shuxue Jinzhan", volume = 7, year = 1964, pages = "231--239", note = "[author also known as: Zhi-zhong Dai] MathSciNet review: 32 {\#}5653", } @article{HART, author = "Hartman, Peter", title = "Ein {B}eweis des {H}enselschen {L}emmas f{\"u}r maximal bewertete {K}{\"o}per", journal = "Arch. Math. (Basel)", volume = 37, year = 1981, pages = "163--168", } @article{HAS-SCHDT2, author = "Hasse, Helmut and Schmidt, Frank K.", title = "Die {S}trukture diskret bewerteter {K}{\"o}rper", journal = "J. Reine Angew. Math.", volume = 170, year = 1933, pages = "4--63", } @article{HEIN, author = "Heinemann, Bernhard", title = "On finite intersections of ``{H}enselian valued'' fields", journal = "Manuscripta Math.", volume = 54, year = 1985, number = "1-3", pages = "37--61", } @inproceedings{KRAS4, author = "Krasner, Marc", title = "Prolongement des valuations. Introduction: id{\'e}e des differentes m{\'e}thodes et leur comparaison", booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 14", publisher = "Fac. Sci. Paris", address = "Paris", year = 1954, } @inproceedings{KRAS5, author = "Krasner, Marc", title = "Unicit{\'e} de prolongement des valuations dans les extensions alg{\'e}briques des corps valu{\'e}s metacomplets de {K}rull", booktitle = "S{\'e}minaire Krasner 1953/54 Exp. 15", publisher = "Fac. Sci. Paris", address = "Paris", year = 1954, } @article{KUR2, author = "K{\"u}rsch{\'a}k, Jozsef", title = "A generalization of the concept of an absolute value", journal = "Mathematikai es termeszettudomanyi ertesito", year = 1912, volume = 30, pages = "699--749", } @article{MACL5, author = "MacLane, Saunders", title = "Abstract absolute values which give new irreducibility criteria", journal = "Nat. Acad. Sci. U.S.A. Proc.", year = 1935, volume = 21, pages = "472--474", } @article{MACL6, author = "MacLane, Saunders", title = "The ideal-decomposition of rational primes in terms of absolute values", journal = "Proc. Nat. Acad. Sci. U.S.A. ", year = 1935, volume = 21, pages = "663--667", } @article{MACL7, author = "MacLane, Saunders", title = "Steinitz field towers for modular fields", journal = "Trans. Amer. Math. Soc.", year = 1939, volume = 46, pages = "23--45", } @article{MACL8, author = "MacLane, Saunders", title = "Subfields and automorphism groups of p-adic fields", journal = "Ann. of Math (2)", year = 1939, volume = 40, pages = "423--442", } @inproceedings{MAH3, author = "Mahler, Kurt", title = "{\"{U}}ber Pseudobewertungen {I}a {Z}erlegungss{\"a}tze", booktitle = "Afdeling Natuurkunde. Proc. Sect. Sci.", publisher = "Akademie van Wetenschappen", address = "Amsterdam", volume = 39, year = 1936, pages = "57--65", } @article{MAH4, author = "Mahler, Kurt", title = "{\"{U}}ber {P}seudobewertungen {II}. ({D}ie {P}seudobewertungen eines endlichen algebraischen {Z}ahlk{\"o}rpers)", journal = "Acta Math.", year = 1936, volume = 67, pages = "283--328", } @article{RY2, author = "Rychl{\'i}k, Karel", title = "On {H}ensel's numbers", journal = "Rozpravy", year = 1916, volume = 25, number = 55, } @article{RY3, author = "Rychl{\'i}k, Karel", title = "A contribution to the theory of fields", journal = "Casopis", year = 1919, volume = 48, pages = "145--165", } @article{RY4, author = "Rychl{\'i}k, Karel", title = "Eine stetige nicht differenzierbare {F}unktion im {G}ebiete der {H}enselschen {Z}ahlen", journal = "J. Reine Angew. Math.", year = 1923, volume = 152, pages = "178--179", } @book{SAM, author = "Samuel, Pierre", title = "Le lemma de {H}ensel", publisher = "Secr{\'e}tariat Math.", year = 1956, series = "S{\'e}minaire A. Chatelet et P. DDubreil: 1953/54, Alg{\`e}bre et th{\'e}orie des nombres", address = "Paris", } @article{SCHI3, author = "Schilling, Otto Franz Georg", title = "Arithmetic in fields of formal power series in several variables", journal = "Ann. of Math. (2)", volume = 38, year = 1937, pages = "551--576", } @article{SCHI-MOR, author = "Schilling, Otto Franz Georg and Moriya, M.", title = "Divisionalgebren {\"u}ber unendlichen perfekten {K}{\"o}rpern", journal = "J. Fac. Sci. Hokkaido Univ. Ser. I", volume = 6, year = 1937, pages = "103--111", } @article{SCHW, author = "Schwartz, Friedrich", title = "Ein {S}trukursatz f{\"u}r eine {K}lasse von {P}seudobewertungen", journal = "Arch. Math. (Basel)", year = 1971, volume = 22, pages = "597--601", } @article{TEI2, author = "Teichm{\"u}ller, Oswald", title = "$p$-Algebren", journal = "Deutsche Mathematik", volume = 1, year = 1936, pages = "362--388", } @article{TEI3, author = "Teichm{\"u}ller, Oswald", title = "{\"{U}}ber die Struktur diskret bewerteter perfekter {K}{\"o}rper", journal = "Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl.", volume = 1, year = 1936, pages = "151--161", } @article{WITT2, author = "Witt, Ernst", title = "Zyklische {K}{\"o}rper und Algebren der {C}harakteristik $p$ vom {G}rad $p^{n}$. {S}truktur diskret bewerteter perfekter {K}{\"o}rper mit vollkommenem {R}estklassenk{\"o}rper der {C}harakteristik $p$", journal = "J. Reine Angew. Math.", year = 1936, volume = 176, pages = "126--140", }