An Extension of the Class of Alternative Rings

Autor: D. L. Outcalt
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