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2. Third power associative, antiflexible rings satisfying (a, b, bc) = b(a, b, c)

Author

Dhabalendu Samanta and Irvin Roy Hentzel

Subjects
Combinatorics, Algebra, Ring (mathematics), Identity (mathematics), Algebra and Number Theory, Degree (graph theory), Semiprime, Semiprime ring, Associative property, Mathematics
Abstract

In this article, we study third power associative, antiflexible rings satisfying the identity (a,b,bc)=b(a,b,c). We prove that third power associative, antiflexible rings satisfying the identity (a,b,bc)=b(a,b,c) with characteristic ≠2,3 are associative of degree five. As a consequence of this result, we prove that a third power associative semiprime antiflexible ring satisfying the identity (a,b,bc)=b(a,b,c) is associative.

Published
2019
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