Conrad’s Partial Order on P.Q.-Baer *-Rings

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.

Bibliographic Details
Main Authors: Khairnar Anil, Waphare B.N.
Format: Article
Language:English
Published: Sciendo 2018-12-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1294