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Unitification of Weakly p.q.-Baer *-Rings

Published 6 Dec 2016 in math.CO and math.RA | (1612.01681v1)

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.

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