CONRAD’S PARTIAL ORDER ON P.Q.-BAER ∗-RINGS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2018, Vol 38, Issue 2
Abstract
We prove that a p.q.-Baer ∗-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer ∗-rings which are lattices. The initial segments of a p.q.-Baer ∗-ring with the Conrad’s partial order are shown to be an orthomodular posets. Keywords: Conrad’s partial order, p.q.-Baer ∗-ring, central cover, orthomodular set. 2010 Mathematics Subject Classification: Primary 16W10; Secondary 06A06, 47L30.
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