Almost Jordan rings-Reference-Cited by-同舟云学术

Almost Jordan rings

Published:1988 Issue:2 Volume:104 Page:343-348
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hentzel Irvin Roy,Peresi Luiz Antonio

Abstract

It is well known that any Jordan ring satisfies the identity: 2 ( ( a x ) x ) x + a ( ( x x ) x ) = 3 ( a ( x x ) ) x 2((ax)x)x + a((xx)x) = 3(a(xx))x . We show that this identity along with commutativity implies the Jordan identity in any semiprime ring. The proof requires characteistic ≠ 2 , 3 \ne 2,3 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-02/S0002-9939-1988-0962796-4/S0002-9939-1988-0962796-4.pdf

Reference4 articles.

1. Commutative power-associative algebras of degree one;Oehmke, Robert H.;J. Algebra,1970

2. Commutative algebras satisfying an identity of degree four;Osborn, J. Marshall;Proc. Amer. Math. Soc.,1965

3. Varieties of algebras;Osborn, J. Marshall;Advances in Math.,1972

4. Zur Theorie der Lie-Tripel-Algebren;Petersson, Holger;Math. Z.,1967

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The geometric classification of nilpotent commutative $$\mathfrak {CD}$$-algebras;Bollettino dell'Unione Matematica Italiana;2022-01-23

2. On anticommutative algebras for which [Ra,Rb] is a derivation;Journal of Geometry and Physics;2021-05

3. The algebraic classification of nilpotent ℭD-algebras;Linear and Multilinear Algebra;2020-12-17

4. The algebraic classification of nilpotent commutative CD-algebras;Communications in Algebra;2020-11-25

5. The geometric classification of nilpotent ℭ-algebras;Journal of Algebra and Its Applications;2020-08-07