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math.CO2024
Strong zero-divisor graph of p.q.-Baer -rings
Anil Khairnar, Nana Kumbhar, B. N. Waphare
In this paper, we study the strong zero-divisor graph of a p.q.-Baer -ring. We determine the condition on a p.q.-Baer -ring (in terms of the smallest central projection in a…
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.CO2024★ 2 cited
Generalized zero-divisor graph of -rings
Anita Lande, Anil Khairnar
Let be a ring with involution and denotes the set of all non-zero zero-divisors of . We associate a simple (undirected) graph with vertex set a…