On Properties Related To *–Reversible Rings
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 22, Issue 1
Abstract
In this paper, a class of *-rings which is a generalization of *–reversible rings is introduced. A ring with involution * is called central *–reversible if for a ,b∈R, whenever ab=0 ,b^* a is central in R. Since every *–reversible ring is central *–reversible, sufficient conditions for central *–reversible rings to be *–reversible is studied. We show that some results of *–reversible rings can be extended to central *–reversible ring. For an Armendariz ring R, we prove that R is central *–reversible if and only if the polynomial ring R[x] is central *–reversible if and only if the Laurent polynomial ring R[x ,x^(-1)] is central *–reversible.
Authors and Affiliations
W. M. Fakieh, N. A. Al-Juhani
Keywords
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- EP ID EP322524
- DOI 10.9734/BJMCS/2017/32407
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