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

Authors :
Dhabalendu Samanta
Irvin Roy Hentzel
Source :
Communications in Algebra. 47:1401-1407
Publication Year :
2019
Publisher :
Informa UK Limited, 2019.

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.

Details

ISSN :
15324125 and 00927872
Volume :
47
Database :
OpenAIRE
Journal :
Communications in Algebra
Accession number :
edsair.doi...........360a9003e1435f6fa515cd1fa2ad3de4