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, 2013 . In this paper we give a characterization for all commutative rings with 1 whose zero-divisor graphs are C4 ...
Sayyed Heidar Jafari
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Zero-Divisor Graphs and Lattices of Finite Commutative Rings
, 2017 In this paper we consider, for a finite commutative ring R, the well-studied zero-divisor graph Γ(R) and the compressed zero-divisor graph Γc(R) of R and a newly-defined graphical structure --- the zero-divisor lattice Λ(R) of R. We give results which
Weber, Darrin
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On the divisor function in short intervals [PDF]
, 2011 Danilo Bazzanella, Bazzanella, Danilo
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Valuation ideals with zero divisors.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1973 openaire +2 more sources
Inverses and zero-divisors [PDF]
Bulletin of the American Mathematical Society, 1942 openaire +2 more sources
On Domination in Zero-Divisor Graphs
Canadian Mathematical Bulletin, 2013 AbstractWe first determine the domination number for the zero-divisor graph of the product of two commutative rings with 1. We then calculate the domination number for the zero-divisor graph of any commutative artinian ring. Finally, we extend some of the results to non-commutative rings in which an element is a left zero-divisor if and only if it is a
Rad, Nader Jafari +2 more
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k-Zero-Divisor and Ideal-Based k-Zero-Divisor Hypergraphs of Some Commutative Rings
Symmetry, 2021 Let R be a commutative ring with nonzero identity and k≥2 be a fixed integer. The k-zero-divisor hypergraph Hk(R) of R consists of the vertex set Z(R,k), the set of all k-zero-divisors of R, and the hyperedges of the form {a1,a2,a3,…,ak}, where a1,a2,a3,…
Ratinan Boonklurb, Boonklurb Ratinan
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Zero Divisors and Orlicz Spaces
Journal of Mathematical Sciences, 2022Let \(G\) be a countable discrete group and let \(\Phi\) be a Young function on \(G\). Let \(\alpha\) be a nonzero element in \(\ell^1(G)\) and denote convolution of functions on \(G\) by \(\ast\). We shall say that \(\alpha\) is a \(\Phi\)-zero divisor if there exists a nonzero function \(\beta\) in the Orlicz space \(\ell^{\Phi}(G)\) that satisfies \(
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