Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Khairnar, Anil"'
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 lattice of central projections of a $*$-ring), so that its strong zero
Externí odkaz:
http://arxiv.org/abs/2408.05949
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 partial solution to this problem. Khairnar and Waphare raised a similar prob
Externí odkaz:
http://arxiv.org/abs/2403.18880
Autor:
Lande, Anita, Khairnar, Anil
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 $\Gamma'(R)$ with vertex set $Z^*(R)$ and two distinct vertices $x$ and $y$ are adjacent in $\Gamma'(R)$
Externí odkaz:
http://arxiv.org/abs/2403.10161
For a ring $R$, the zero-divisor graph is a simple graph $\Gamma(R)$ whose vertex set is the set of all non-zero zero-divisors in a ring $R$, and two distinct vertices $x$ and $y$ are adjacent if and only if $xy=0$ or $yx=0$ in $R$. By using Weyl's i
Externí odkaz:
http://arxiv.org/abs/2312.09934
The zero-divisor graph $\Gamma(R)$ of a ring $R$ is a graph with nonzero zero-divisors of $R$ as vertices and distinct vertices $x,y$ are adjacent if $xy=0$ or $yx=0$. We provide an equivalence relation on a ring $R$ and express $\Gamma(R)$ as a gene
Externí odkaz:
http://arxiv.org/abs/2106.15977
Autor:
Khairnar, Anil, Waphare, B. N.
We consider the ring $\mathbb Z_n$ (integers modulo $n$) with the partial order `$\leq$' given by `$a \leq b$ if either $a=b$ or $a\equiv ab~(mod~n)$'. In this paper, we obtain necessary and sufficient conditions for the poset ($\mathbb Z_n,~\leq$) t
Externí odkaz:
http://arxiv.org/abs/1704.05006
Autor:
Kulal, Vikas, Khairnar, Anil
Publikováno v:
Asian-European Journal of Mathematics; Jul2024, Vol. 17 Issue 7, p1-14, 14p
Autor:
Khairnar, Anil, Waphare, B. N.
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 it is weakly principally quasi-Baer *-rings with unity. A partial sol
Externí odkaz:
http://arxiv.org/abs/1612.01681
Autor:
Khairnar, Anil, Waphare, B. N.
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 *-ring with Conrads partial order are shown to be orthomodular posets.
Externí odkaz:
http://arxiv.org/abs/1611.08837
Autor:
Kulal, Vikas1 (AUTHOR) vikaskulal61@gmail.com, Khairnar, Anil2 (AUTHOR) ask.agc@mespune.in, Tamizh Chelvam, T.3 (AUTHOR) tamizhchelvam@msuniv.ac.in
Publikováno v:
Discrete Mathematics, Algorithms & Applications. Apr2024, p1. 20p.