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arxiv: 1611.08837 · v1 · pith:6W6KS2QHnew · submitted 2016-11-27 · 🧮 math.CO · math.RA

Conrad's Partial Order on p.q.-Baer *-Rings

classification 🧮 math.CO math.RA
keywords baerorderpartialconradsringringscharacterizeconrad
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We prove that p.q.-Baer *-ring forms a pseudo lattice with Conrads partial order and also characterize p.q.-Baer *-rings which are lattices. The initial segments of a p.q.-Baer *-ring with Conrads partial order are shown to be orthomodular posets.

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