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