A. Khairnar

activity

20162026

most citedGeneralized zero-divisor graph of

*

-rings

2 citations · 4 across the 10 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.CO2025

On Generalized Rickart $*$ -rings

Anil Khairnar, Sanjay More

A ring $R$ with an involution $*$ is a generalized Rickart $*$ -ring if for all $x \in R$ the right annihilator of $x^{n}$ is generated by a projection for some positive integer $n$ de…

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.CO2024★ 2 cited

Generalized zero-divisor graph of $*$ -rings

Anita Lande, Anil Khairnar

Let $R$ be a ring with involution $*$ and $Z^{*} (R)$ denotes the set of all non-zero zero-divisors of $R$ . We associate a simple (undirected) graph $Γ^{'} (R)$ with vertex set $Z^{*} (R)$ a…

math.CO2016★ 1 cited

Unitification of Weakly p.q.-Baer *-Rings

Anil Khairnar, B. N. Waphare

In this paper, we introduce a concept of weakly principally quasi-Baer *-rings in terms of central cover. We prove that a *-rings is a principally quasi-Baer *-rings if and only if…

math.CO2016

Conrad's Partial Order on p.q.-Baer *-Rings

Anil Khairnar, B. N. Waphare

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 *-r…

On Generalized Rickart ∗-rings

Strong zero-divisor graph of p.q.-Baer ∗-rings

Generalized zero-divisor graph of ∗-rings

Unitification of Weakly p.q.-Baer *-Rings

Conrad's Partial Order on p.q.-Baer *-Rings

On Generalized Rickart $*$ -rings

Strong zero-divisor graph of p.q.-Baer $*$ -rings

Generalized zero-divisor graph of $*$ -rings