Results 41 to 50 of about 1,283,848 (178)
Zero-divisor graphs of idealizations
, 2006 We consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the preservation, or lack thereof, of the diameter and girth of the zero-divisor graph of a ring when extending to idealizations of the ...
Stickles, Joe, Axtell, Michael
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Line Graphs of Monogenic Semigroup Graphs
Journal of Mathematics, 2021 The concept of monogenic semigroup graphs ΓSM is firstly introduced by Das et al. (2013) based on zero divisor graphs. In this study, we mainly discuss the some graph properties over the line graph LΓSM of ΓSM.
Nihat Akgunes +2 more
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Open Mathematics, 2015 Recently, an interest is developed in estimating genus of the zero-divisor graph of a ring. In this note we investigate genera of graphs of a class of zero-divisor rings (a ring in which every element is a zero divisor).
Nauman Syed Khalid, Shafee Basmah H.
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The Zero Divisor Graphs of a finite Certain Rings [PDF]
المجلة العراقية للعلوم الاحصائية, 2013 For each commutative ring we associate a ...
Nazar H. Shuker, Husam Q. Mohammad
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Zero-divisor ideals and realizable zero-divisor graphs
, 2009 We seek to classify the sets of zero-divisors that form ideals based on their zero-divisor graphs. We offer full classification of these ideals within finite commutative rings with identity. We also provide various results concerning the realizability of
Stickles, Joe +5 more
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Catalan Bounds for Symmetric Strength‐Two Orthogonal Arrays
Journal of Combinatorial Designs, EarlyView.ABSTRACT A Hamming shell construction is a two‐level array obtained by taking every binary vector of a given Hamming weight a prescribed number of times, for each weight in turn. Such arrays are invariant under all permutations of the factors, and they are strength‐two orthogonal arrays exactly when the multiplicities satisfy three linear constraints ...
Ruwan C. Karunanayaka
wiley +1 more source
Adjacency spectra and Laplacian integrality of zero divisor graphs over some rings
Kuwait Journal of ScienceLet 𝑅 be a commutative ring and let 𝑍∗ (𝑅) denote the set of non-zero zero divisors of 𝑅. The zero divisor graph 𝛤(𝑅) is defined as the simple graph with vertex set 𝑍∗ (𝑅), where two distinct vertices 𝑥, 𝑦 ∈ 𝑍∗ (𝑅) are adjacent if and only if 𝑥𝑦 = 0.
Bilal Ahmad Rather +3 more
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Component graphs of vector spaces and zero-divisor graphs of ordered sets [PDF]
, 2022 In this paper, nonzero component graphs and nonzero component union graphs of finite dimensional vector space are studied using the zero-divisor graph of specially constructed 0-1-distributive lattice and the zero-divisor graph of rings.
Khandekar, Nilesh +2 more
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The Zero-Divisor Graphs of Variation Monogenic Semigroups
Scientific Journal of King Faisal University: Basic and Applied Sciences, 2020 The undirected graph Γ(〖VS〗_Mn) is the zero-divisor graph of the monogenic semigroup SM with zero. The non-zero vertices xi and xj of this graph are adjacent whenever i + j > n and gcd(i,j)=1, where n is the order of Γ(〖VS〗_Mn).
Bana Jawid Al Subaiei +1 more
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source