Unitification of Weakly p.q.-Baer *-Rings
Combinatorics
2016-12-07 v1 Rings and Algebras
Abstract
In this paper, we introduce a concept of weakly principally quasi-Baer *-rings in terms of central cover. We prove that a *-rings is a principally quasi-Baer *-rings if and only if it is weakly principally quasi-Baer *-rings with unity. A partial solution to the problem similar to unitification problem raised by S. K. Berberian is obtained.
Keywords
Cite
@article{arxiv.1612.01681,
title = {Unitification of Weakly p.q.-Baer *-Rings},
author = {Anil Khairnar and B. N. Waphare},
journal= {arXiv preprint arXiv:1612.01681},
year = {2016}
}