Results 171 to 180 of about 1,460,755 (212)

A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors [PDF]

open access: yesCommunications in Algebra, 2011
We study the zero divisor graph determined by equivalence classes of zero divisors of a commutative Noetherian ring R. We demonstrate how to recover information about R from this structure. In particular, we determine how to identify associated primes from the graph.
Cameron G. Wickham, Sandra Spiroff
exaly   +4 more sources

On zero-divisor graphs of finite rings

open access: yesJournal of Algebra, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saieed Akbari
exaly   +3 more sources

Induced subgraphs of zero-divisor graphs

open access: yesDiscrete Mathematics, 2023
The zero-divisor graph of a finite commutative ring with unity is the graph whose vertex set is the set of zero-divisors in the ring, with $a$ and $b$ adjacent if $ab=0$. We show that the class of zero-divisor graphs is universal, in the sense that every finite graph is isomorphic to an induced subgraph of a zero-divisor graph.
Peter Cameron, T Tamizh Chelvam
exaly   +5 more sources
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The Zero-Divisor Graph of a Lattice

Results in Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estaji, E., Khashyarmanesh, K.
openaire   +2 more sources

Zero-divisor super-$$\lambda$$ graphs

São Paulo Journal of Mathematical Sciences, 2022
A maximally edge-connected graph with all minimum edge-cuts trivial is called super-\(\lambda\). In this paper, using the finite direct product of finite fields, the ring of the residues, and the trivial extension of rings by a module, the authors show that there are various classes of rings whose zero-divisor graphs are super-\(\lambda\) and then ...
Driss Bennis   +2 more
openaire   +1 more source

The zero-divisor graphs of MV-algebras

Soft Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aiping Gan, Yichuan Yang
openaire   +3 more sources

Chromatic uniqueness of zero-divisor graphs

The Art of Discrete and Applied Mathematics, 2022
Summary: The zero-divisor graph \(\Pi(R)\) of a commutative ring \(R\) is the graph whose vertices are the elements of \(R\) such that the vertices \(u\) and \(v\) are adjacent if and only if \(uv=0\). If the graphs \(G\) and \(H\) have the same chromatic polynomial, then we say that they are chromatically equivalent (or \(\chi -\) equivalent), written
Haneen Al-Janabi, Gábor Bacsó
openaire   +3 more sources

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