An Extension of the Class of Alternative Rings
Autor: | D. L. Outcalt |
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Rok vydání: | 1965 |
Předmět: | |
Zdroj: | Canadian Journal of Mathematics. 17:130-141 |
ISSN: | 1496-4279 0008-414X |
DOI: | 10.4153/cjm-1965-013-0 |
Popis: | 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, z ∊ R, 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·c — a·bc. lf R also satisfies the identity(2) (x, x, x) = 0 |
Databáze: | OpenAIRE |
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