Nonassociative rings satisfying a(bc) = b(ca) and (a, a, b) = (b, a, a)

Samanta, D; Hentzel, IR

Samanta, D (reprint author), PDM Coll Engn, Dept Appl Sci & Humanities, Bhadurgarh, Haryana, India.

COMMUNICATIONS IN ALGEBRA, 2019; 47 (10): 3915

Abstract

In this paper, we study nonassociative rings satisfying the polynomial identities a(bc) = b(ca) and (a, a, b) = (b, a, a). We prove that nonassociative rings satisfying the identities a(bc) = b(ca) and (a, a, b) = (b, a, a) with characteristic are associative and commutative of degree five.

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