Results 101 to 110 of about 575,168 (177)
Ain Shams Engineering JournalThis paper investigates the outer multiset dimension (OMSD) of compressed zero-divisor graphs (CZDGs) associated with finite commutative rings (CRs). For a given ring A, the classical zero-divisor graph (ZDG) is refined by compressing its nodes based on ...
Amina Riaz +3 more
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On the genus of graphs from commutative rings
AKCE International Journal of Graphs and Combinatorics, 2017 Let be a commutative ring with non-zero identity. The cozero-divisor graph of , denoted by , is a graph with vertex-set , which is the set of all non-zero non-unit elements of , and two distinct vertices and in are adjacent if and only if and , where for
S. Kavitha, R. Kala
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The Szeged Index and Padmakar-Ivan Index on the Zero-Divisor Graph of a Commutative Ring
Contemporary Mathematics and Applications (ConMathA)The zero-divisor graph of a commutative ring is a graph where the vertices represent the zero-divisors of the ring, and two distinct vertices are connected if their product equals zero.
Jinan Ambar +2 more
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Analytic versions of the zero divisor conjecture
, 2006 One of the most famous and frustrating problems in algebra is the zero divisor conjecture. In this work we study some analytical versions of this conjecture.
Puls, Michael
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Local Rings with Genus Two Zero Divisor Graph
, 2010 To each commutative ring R we can associate a graph, the zero divisor graph of R, whose vertices are the zero divisors of R, and such that two vertices are adjacent if their product is zero.
Bloomfield, Nathan +3 more
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Zero-Divisors of Content Algebras
, 2010 In this article, we prove that in content extentions minimal primes extend to minimal primes and discuss zero-divisors of a content algebra over a ring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals. We also examine the preservation of diameter of zero-divisor graph under content extensions.
openaire +3 more sources
Properties of ideal-based zero-divisor graphs of commutative rings
, 2014 Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is on a generalization of the zero-divisor graph called the ideal-based zero-divisor graph for commutative rings with nonzero identity.
Jesse Gerald Smith, Jr. +1 more
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Randić spectrum of the weakly zero-divisor graph of the ring ℤn
AKCE International Journal of Graphs and CombinatoricsIn this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring [Formula: see text] with identity [Formula: see text], denoted as [Formula: see text], where [Formula: see text] is taken as the ring of integers ...
Nadeem Ur Rehman +3 more
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On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]
Categories and General Algebraic Structures with Applications, 2016 Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors. The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero zero-divisors of $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi +2 more
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THE DOMINATION OF ZERO DIVISOR GRAPH ON THE LINE GRAPH
, 2020 The directed Zero divisor graph is a graph constructed out of a non-Commutative ring R and its non-zero divisors. In this paper we find various domination parameter for the zero-divisor graph.
R, PREMKUMAR
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