Results 151 to 160 of about 575,168 (177)

The zero-divisor graph of a module

2017
Summary: Let \(R\) be a commutative ring with identity and \(M\) an \(R\)-module. In this paper, we associate a graph to \(M\), say \(\Gamma (_{R}M)\), such that when \(M=R\), \(\Gamma (_{R}M)\) coincide with the zero-divisor graph of \(R\). Many well-known results by \textit{D. F. Anderson} and \textit{P. S. Livingston} [J. Algebra 217, No.
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Graphs and Zero-Divisors

The College Mathematics Journal, 2010
The last ten years have seen an explosion of research in the zero-divisor graphs of commutative rings—by professional mathematicians and undergraduates.
Axtell, Michael, Stickles, Joe
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PRIME ALGEBRAS AND ABSOLUTE ZERO DIVISORS

Mathematics of the USSR-Izvestiya, 1987
One of the main problems in the structure theory of any class of algebras is the problem of describing prime algebras in this class. This problem was solved for alternative, Jordan and \((-1,1)\)-algebras (module associative algebras) under the additional assumption of nondegeneracy, where an algebra is called nondegenerate if it does not contain ...
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Identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings

2022
Summary: We provide criteria for identifying exact pairs of zero-divisors from zero-divisor graphs of commutative rings, and extend these criteria to compressed zero-divisor graphs. Finally, our results are translated as constructions for exact zero-divisor subgraphs.
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Regularity of Zero Divisors

Proceedings of the London Mathematical Society, 1982
Small, L. W., Stafford, J. T.
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Exact Decompositions and Zero-Divisor Graphs

Graphs and Combinatorics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Wiener index of the zero-divisor graph of Zn

Discrete Applied Mathematics, 2022
T Asir
exaly  

On Laplacian Eigenvalues of the Zero-Divisor Graph Associated to the Ring of Integers Modulo n

Mathematics, 2021
Bilal Ahmad Rather, S Pirzada, YILUN Shang   +2 more
exaly  

Zero Divisors

1998
Grigore Cǎlugǎreanu, Peter Hamburg
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On zero divisor graphs of the rings $$Z_n$$

Afrika Matematika, 2020
S Pirzada, Pirzada S
exaly