Conrad's Partial Order on p.q.-Baer *-Rings
Combinatorics
2016-12-06 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.1611.08837,
title = {Conrad's Partial Order on p.q.-Baer *-Rings},
author = {Anil Khairnar and B. N. Waphare},
journal= {arXiv preprint arXiv:1611.08837},
year = {2016}
}