Results 111 to 120 of about 575,168 (177)
Ideal-based zero-divisor graph of MV-algebras
, 2023 Let $(A, \oplus, *, 0)$ be an MV-algebra, $(A, \odot, 0)$ be the associated commutative semigroup, and $I$ be an ideal of $A$. Define the ideal-based zero-divisor graph $\Gamma_{I}(A)$ of $A$ with respect to $I$ to be a simple graph with the set of ...
Gan, Aiping, Yang, Yichuan, Su, Huadong
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Zero-divisor Graphs of Localizations and Modular Rings
, 2017 In this paper, we examine the algebraic properties of localizations of commutative rings and how localizations affect the zero-divisor graphs structure of modular rings.
Cuchta, Thomas +2 more
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Grafo divisor de zero de um anel comutativo [PDF]
, 2011 Let R be a commutative ring with identity and let D(R) ∗ be its set of nonzero zerodivisors. The zero-divisor graph of R, denoted bySejam R um anel comutativo com identidade e D(R) ∗ seu conjunto de divisores de zero não nulos.
Claudia Juliana Fanelli Gonçalves
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Zero-divisor Graphs of Localizations and Modular Rings
, 2008 In this paper, we examine the algebraic properties of localizations of commutative rings and how localizations affect the zero-divisor graph’s structure of modular rings.
Young, William +2 more
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Colorings of Zero-Divisor Graphs of Commutative Rings [PDF]
, 2015 We will focus on Beck?s conjecture that the chromatic number of a zero-divisor graph of a ring R is equal to the clique number of the ring R. We begin by calculating the chromatic number of the zero-divisor graphs for some finite rings and characterizing
Ramos, Rebecca Elizabeth
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تصنیف بیانات قواسم الصفر للحلقات الابدالیة ذات الدرجات 11, 12 و 13
Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 Nazar H. Shuker, Husam Q. Mohammad
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On domination numbers of zero-divisor graphs of commutative rings
Electronic Journal of Graph Theory and ApplicationsZero-divisor graphs of a commutative ring R, denoted Γ(R), are well-represented in the literature. In this paper, we consider domination numbers of zero-divisor graphs. For reduced rings, Vatandoost and Ramezani characterized the possible graphs for Γ(R)
Sarah E. Anderson +3 more
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تصنیف بیانات قواسم الصفر للحلقات الإبدالیة ذات الدرجات 7 و 8
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 Husam Q. Mohammad, Nazar H. Shuker
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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.
openaire +2 more sources