Results 151 to 160 of about 1,727 (183)

The rings where zero-divisor polynomials have zero-divisor coefficients

Rocky Mountain Journal of Mathematics, 2021
The aim of this paper is to introduce and study a new class of rings which is called \(\mathrm{ZPZC}\) rings. It is shown that every right McCoy ring is a \(\mathrm{ZPZC}\) ring, and an example is given to show that a \(\mathrm{ZPZC}\) ring need not be right McCoy.
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Zero divisors in quaternion algebras

Journal of Algorithms, 1988
The starting point for the author is the following pair of problems: Given an associative algebra A, can we decide whether or not there are zero divisors and if so, can we outline an algorithm to construct a pair of zero divisors; in particular, in what time can it be done?
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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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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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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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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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On Laplacian Eigenvalues of the Zero-Divisor Graph Associated to the Ring of Integers Modulo n

Mathematics, 2021
Shariefuddin Pirzada, Yilun Shang, Bilal Ahmad Rather   +2 more
exaly  

The Wiener index of the zero-divisor graph of

Discrete Applied Mathematics, 2022
T Asir
exaly  

Zero Divisors

1998
Grigore Cǎlugǎreanu, Peter Hamburg
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