Results 101 to 110 of about 1,397,793 (213)
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
doaj
Graph Theoretic Properties of the Zero-Divisor Graph of a Ring [PDF]
, 2004 Let R be a commutative ring with 1 ≠ 0, and let Z(R) denote the set of zero-divisors of R. One can associate with R a graph Γ(R) whose vertices are the nonzero zero-divisors of R.
Smith, Neal Oliver
core
The diameter of a zero divisor graph [PDF]
, 2006 Let R be a commutative ring and let Z(R)∗ be its set of nonzero zero divisors. The set Z(R)∗ makes up the vertices of the corresponding zero divisor graph, Γ(R), with two distinct vertices forming an edge if the product of the two elements is zero.
Lucas, Thomas G.
core +1 more source
Decomposition of Neutrosophic Zero-divisor graph [PDF]
Neutrosophic Sets and SystemsEvaluating student performance in university English translation courses is a complex process that requires a comprehensive assessment of multiple factors.
Balakrishnan A +3 more
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Generalized zero-divisor graph of ∗-rings
Asian-European Journal of MathematicsA ∗-ring [Formula: see text] is a ring with an involution ∗. Let [Formula: see text] denote the set of all nonzero zero-divisors of [Formula: see text]. We associate a simple (undirected) graph [Formula: see text] with vertex set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent in [Formula: see text]
Anita Lande, Anil Khairnar
openaire +2 more sources
Laplacian spectrum of weakly zero-divisor graph of the ring $\mathbb{Z}_{n}$
, 2023 Let $R$ be a commutative ring with unity. The weakly zero-divisor graph $W\Gamma(R)$ of the ring $R$ is the simple undirected graph whose vertices are nonzero zero-divisors of $R$ and two vertices $x$, $y$ are adjacent if and only if there exists $r\in {\
Mathil, Praveen +2 more
core
Zero-divisor graph of matrix rings and Hurwitz rings [PDF]
, 2016 Let R be ring a with identity 1 ̸= 0, Sn(R) be a subring of the ring Tn(R) of n × n upper triangular matrices over R, and Hn(R) be the ring defined in the next section using HR, the ring of the Hurwitz series over R.
Abdioğlu, Cihat
core
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
doaj +1 more source
, 2006 Associated to every nonzero commutative ring with identity is a graph whose vertices are the nonzero zero-divisors, and such that two distinct vertices x and y are adjacent if and only if xy = 0.
Chapman, Jeremy M.
core
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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