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math.RA2024
On Unitification of -rings
Sanjay More, Anil Khairnar, B. N. Waphare
S. K. Berberian raised the open problem ``Can every weakly Rickart -ring be embedded in a Rickart -ring? with preservation of right projections?" Berberian has given a partia…
math.RA2016
Natural Partial Order on Rings with Involution
Avinash Patil, B. N. Waphare
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…