Natural partial order on rings with involution

In this paper, we introduce a partial order on rings with involution, which is a generalization of the partial order on the set of projections in a Rickart ∗-ring. We prove that a ∗-ring with the natural partial order forms a sectionally semi-complemented poset. It is proved that every interval [0,x...

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Bibliographic Details
Main Authors: Avinash Patil, B.N. Waphare
Format: Article
Language:English
Published: Taylor & Francis Group 2019-04-01
Series:AKCE International Journal of Graphs and Combinatorics
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860017301524