Algebraic extensions of graded and valued fields

Communications in Algebra

Volumn 27, Issue 2, 1999, Pages 821-840

  Hwang, Y S ^a   Wadsworth, A R ^b  

^a Korea University   (South Korea)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22444456256     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879908826464     Document Type: Article

References (9)

1. [B1] M. Boulagouaz, The graded and tame extensions, pp. 27-40 in Commutative Ring Theory (Fès, 1992) (P. J. Cahen, et. al., eds.), Lecture Notes in Pure and Applied Math., No. 153, Marcel Dekker, New York, 1994.
2. [B2] M. Boulagouaz, Le graduè d'une algèbre à division valuée, Comm. Algebra, 23 (1995), 4275-4300.
3. [CHR] S. U. Chase, D. K. Harrison, and A. Rosenberg, Galois Theory and Galois Cohomology of Commutative Rings, Mem. Amer. Math. Soc., No. 52, Amer. Math. Soc., Providence, R.I., 1965.
4. [E] O. Endler, Valuation Theory, Springer, New York, 1972.
5. [G] C. Greither, Cyclic Galois Extensions of Commutative Rings, Lecture Notes in Math., No. 1534, Springer, Berlin, 1992.
6. [HW] Y.-S. Hwang and A. R. Wadsworth, Correspondences between valued division algebras and graded division algebras, preprint, UCSD, 1997.
7. [S] O. F. G. Schilling, The Theory of Valuations, Math. Surveys, No. 4, Amer. Math. Soc., Providence, R.I., 1950.
8. [TW] J.-P. Tignol and A. R. Wadsworth, Totally ramified valuations on finite-dimensional division algebras, Trans. Amer. Math. Soc., 302 (1987), 223-249.
9. [vGvO] J. van Geel and F. van Oystaeyen, About graded fields, Indag. Math., 43 (1981), 273-286.