Results 101 to 110 of about 1,397,791 (213)
A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs
Turkish Journal of Mathematics and Computer ScienceIn this paper, we introduce the t-zero divisor graph $\Gamma_{T}(L)$, which is a generalization of the zero divisor graph of a lattice $\Gamma(L)$, where $t$ is a triangular norm on $L$. We investigate which properties hold in $t$-zero divisor graphs for special $t$-norms while giving some additional properties of the zero divisor graph.
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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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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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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.
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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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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
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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
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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
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