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Valuations on algebras with involution

Bibliographic reference Tignol, Jean-Pierre ; Wadsworth, Adrian R.. Valuations on algebras with involution. In: Mathematische Annalen, Vol. 351, no. 1, p. 109-148 (2011)
Permanent URL http://hdl.handle.net/2078.1/87614
  1. Bourbaki, N.: Elements of Mathematics, Commutative Algebra. Addison-Wesley, Reading (1972). English trans. of Éléments de Mathématique, Algèbre Commutative
  2. Dejaiffe I., Somme orthogonal d'algebres a involution et algebra de clifford, 10.1080/00927879808826224
  3. Dejaiffe I., Tignol J. P., Lewis D. W., Witt equivalence of central simple algebras with involution, 10.1007/bf02904238
  4. Dixmier, J.: Les C *-algèbres et leurs représentations. Gauthier-Villars & Cie, Éditeur, Paris (1964). English trans.: C *-Algebras. North-Holland, Amsterdam (1977)
  5. Ershov, Yu.L.: Valued division rings. In: Fifth All Union Symposium, Theory of Rings, Algebras, and Modules, pp. 53–55. Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk (1982, in Russian)
  6. Ershov Yu L, HENSELIAN VALUATIONS OF DIVISION RINGS AND THE GROUPSK1, 10.1070/sm1983v045n01abeh000992
  7. Ershov Yuri L., Multi-Valued Fields, ISBN:9781461354895, 10.1007/978-1-4615-1307-0
  8. Endler Otto, Valuation Theory, ISBN:9783540060703, 10.1007/978-3-642-65505-0
  9. Engler A.J., Prestel A.: Valued Fields. Springer, Berlin (2005)
  10. Hwang Y.S., Wadsworth A.R., Algebraic extensions of graded and valued fields, 10.1080/00927879908826464
  11. Hwang Y.-S, Wadsworth A.R, Correspondences Between Valued Division Algebras and Graded Division Algebras, 10.1006/jabr.1999.7903
  12. Knus, M.-A., Merkurjev, A.S., Rost, M., Tignol, J.-P.: The Book of Involutions. Coll. Pub. 44. Amer. Math. Soc., Providence (1998)
  13. Larmour Douglas W., A Springer Theorem for Hermitian forms, 10.1007/s00209-005-0775-z
  14. Morandi Pat, The Henselization of a valued division algebra, 10.1016/0021-8693(89)90247-0
  15. Pierce Richard S., Associative Algebras, ISBN:9781475701654, 10.1007/978-1-4757-0163-0
  16. Renard J.-F, Tignol J.-R, Wadsworth A.R., Graded Hermitian forms and Springer's theorem, 10.1016/s0019-3577(07)80010-3
  17. Schilling O., The Theory of Valuations, ISBN:9780821815045, 10.1090/surv/004
  18. Tignol J.-P., Wadsworth A. R., Value functions and associated graded rings for semisimple algebras, 10.1090/s0002-9947-09-04681-9
  19. Wadsworth A.R.: Extending valuations to finite-dimensional division algebras. Proc. Am. Math. Soc. 98, 20–22 (1986)
  20. Weil A.: Algebras with involutions and the classical groups. J. Indian Math. Soc. (N.S.) 24, 589–623 (1960)