activity
20162026
most citedGeneralized zero-divisor graph of -rings

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

collaborators

10 papers

math.DS2026

On solution of Diffusion Equation using Conformable Laplace Transform

Somnath Sarate, Anil Khairnar, Krishnat Masalkar

The inversion theorem and convolution theorem of the conformable fractional Laplace transforms are developed. All the elementary properties of the classical Laplace transform are e…

math.RA2025

On Generalized p.q.-Baer -rings

Sanjay More, Anil Khairnar

We introduced the class of weakly generalized p.q.-Baer -rings. It is proved that under some assumptions every weakly generalized p.q.-Baer -ring can be embedded in generaliz…

math.CO2025

On Generalized Rickart -rings

Anil Khairnar, Sanjay More

A ring with an involution is a generalized Rickart -ring if for all the right annihilator of is generated by a projection for some positive integer 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.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…

math.SP2023★ 1 cited

On spectrum of the zero-divisor graph of matrix ring

Krishnat Masalkar, Anil Khairnar, Anita Lande +1

For a ring , the zero-divisor graph is a simple graph whose vertex set is the set of all non-zero zero-divisors in a ring , and two distinct vertices and are a…

math.SP2021

Spectra of the zero-divisor graph of finite rings

Krishnat D. Masalkar, Anil Khairnar, Anita Lande +1

The zero-divisor graph of a ring is a graph with nonzero zero-divisors of as vertices and distinct vertices are adjacent if or . We provide an equ…

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…