Results 41 to 50 of about 88,527 (242)

Exploring the properties of the zero-divisor graph of direct product of $\ast$-rings [PDF]

Journal of Mahani Mathematical Research
In this paper, we delve into the study of zero-divisor graphs in rings equipped with an involution. Specifically, we focus on abelian Rickart $\ast$-rings.
Mohd Nazim, Nadeem Ur Rehman, Shabir Ahmad Mir   +2 more
doaj   +1 more source

Directed zero-divisor graph and skew power series rings [PDF]

Transactions on Combinatorics, 2018
‎Let $R$ be an associative ring with identity and $Z^{\ast}(R)$ be its set of non-zero zero-divisors‎. ‎Zero-divisor graphs of rings are well represented in the literature of commutative and non-commutative rings‎. ‎The directed zero-divisor graph of $R$‎
Ebrahim Hashemi, Marzieh Yazdanfar, Abdollah Alhevaz   +2 more
doaj   +1 more source

Quotient Energy of Zero Divisor Graphs And Identity Graphs

مجلة بغداد للعلوم, 2023
Consider the (p,q) simple connected graph . The sum absolute values of the spectrum of quotient matrix of a graph  make up the graph's quotient energy.
M. Lalitha Kumari, L. Pandiselvi, K. Palani   +2 more
doaj   +1 more source

Zero-divisor graphs of twisted partial skew generalized power series rings [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – The aim of this paper is to investigate the relationship between the ring structure of the twisted partial skew generalized power series ring RG,≤;Θ and the corresponding structure of its zero-divisor graph Γ̅RG,≤;Θ. Design/methodology/approach
Mohammed H. Fahmy, Ahmed Ageeb Elokl, Ramy Abdel-Khalek   +2 more
doaj   +1 more source

Singular spin structures and superstrings

Journal of High Energy Physics, 2023
There are two main problems in finding the higher genus superstring measure. The first one is that for g ≥ 5 the super moduli space is not projected. Furthermore, the supermeasure is regular for g ≤ 11, a bound related to the source of singularities due ...
Marco Matone
doaj   +1 more source

BRAIDS, ORDERINGS AND ZERO DIVISORS [PDF]

Journal of Knot Theory and Its Ramifications, 1998
We begin with the observation that the group algebras [Formula: see text] of Artin's braid groups have no zero divisors or nontrivial units. This follows from the recent discovery of Dehornoy that braids can be totally ordered by a relation < which is invariant under left multiplication.
Rolfsen, Dale, Zhu, Jun
openaire   +1 more source

Probabilistic characterizations of some finite ring of matrices and its zero divisor graph [PDF]

, 2020
Let R be a finite ring. In this study, the probability that two random elements chosen from a finite ring have product zero is determined for some finite ring of matrices over Zn.
Khasraw, Sanhan Muhammad Salih, Sarmin, Nor Haniza, Zaid, Nurhidayah   +2 more
core  

Some results on the total zero-divisor graph of a commutative ring [PDF]

Arab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
doaj   +1 more source

A note on the zero divisor graph of a lattice [PDF]

Transactions on Combinatorics, 2014
Let $L$ be a lattice with the least element $0$. An element $xin L$ is a zero divisor if $xwedge y=0$ for some $yin L^*=Lsetminus left{0right}$. The set of all zero divisors is denoted by $Z(L)$.
T. Tamizh Chelvam , S. Nithya
doaj  

Distances in zero-divisor and total graphs from commutative rings–A survey

AKCE International Journal of Graphs and Combinatorics, 2016
There are so many ways to construct graphs from algebraic structures. Most popular constructions are Cayley graphs, commuting graphs and non-commuting graphs from finite groups and zero-divisor graphs and total graphs from commutative rings.
T. Tamizh Chelvam, T. Asir
doaj   +1 more source