Geodesic
Conrad’s Partial Order on P.Q.-Baer *-Rings
Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 2, pp. 207-219

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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 
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Khairnar, Anil; Waphare, B.N. Conrad’s Partial Order on P.Q.-Baer *-Rings. Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 2, pp. 207-219. http://geodesic.mathdoc.fr/item/DMGAA_2018_38_2_a3/