Isotopy and identities in alternative algebras-Reference-Cited by-同舟云学术

Isotopy and identities in alternative algebras

Published:1997 Issue:6 Volume:125 Page:1571-1575
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Babikov M.

Abstract

In this paper we show how to construct an isomorphism between an alternative algebra A A over a field of characteristic ≠ 3 \ne 3 and its isotope A ( 1 + c ) A^{(1+c)} , where c c is an element of Zhevlakov’s radical of A A . This leads to the equivalence of any polynomial identity f = 0 f=0 in alternative algebras and the isotope identity f ( s ) = 0 f^{(s)}=0 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1997-125-06/S0002-9939-97-03789-1/S0002-9939-97-03789-1.pdf

Reference3 articles.

1. Homotopes of alternative algebras;McCrimmon, Kevin;Math. Ann.,1971

2. Series for all the roots of a trinomial equation;Eagle, Albert;Amer. Math. Monthly,1939

3. Algebras with nondegenerate associative symmetric bilinear forms permitting composition. II;Okubo, Susumu;Comm. Algebra,1981

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