An Extension of the Class of Alternative Rings

Author:

Outcalt D. L.

Abstract

Define R to be a ring of characteristic not 2 or 3 satisfying the identity(1)       (x,y,z) = (y,z,x)for all x, y, zR, where by characteristic not p is meant x —> px is a one-toone mapping of R upon R. The associator (a, b, c) of R is defined by (a, b, c) = ab·ca·bc. lf R also satisfies the identity(2)      (x, x, x) = 0

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 10 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. Identities of the algebra ⊗;Contemporary Mathematics;2023

2. On Vinberg ( − 1,1) rings;Asian-European Journal of Mathematics;2016-11-28

3. On the definitions of nucleus for dialgebras;Journal of Algebra;2013-10

4. On the Z-module structure of a free semialternative ring;Communications in Algebra;1999-01

5. Associator-cyclic bimodules;Mathematical Notes;1994-11

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