THE ZERO-DIVISOR GRAPH OF A MODULE

DOI10.22044/jas.2017.858zbMath1468.13010OpenAlexW2591887593MaRDI QIDQ4956388

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Publication date: 1 September 2021

Full work available at URL: http://jas.shahroodut.ac.ir/article_858_dc9a03e1918e0e0bd28530d1103281ff.pdf

zbMATH Keywords

diametergirthreduced modulezero-divisor graphannilhilator

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connectivity (05C40) Divisibility and factorizations in commutative rings (13A05) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (2)

THE ANNIHILATOR GRAPH FOR MODULED OVER COMMUTATIVE RINGS ⋮ Unnamed Item

Cites Work

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• On the diameter and girth of a zero-divisor graph
• On bipartite zero-divisor graphs
• Coloring of commutative rings
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• Beck's coloring of a commutative ring
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• A GENERALIZATION OF THE ZERO-DIVISOR GRAPH FOR MODULES
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• On the spectrum of a module over a commutative ring
• Zero-divisor graphs in commutative rings
• Prime modules.
• A ZERO-DIVISOR GRAPH FOR MODULES WITH RESPECT TO THEIR (FIRST) DUAL
• The Zero Divisor Graphs of Commutative Local Rings of Orderp⁴andp⁵
• THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING
• Zero-Divisor Graph with Respect to an Ideal
• A generalized ideal-based zero-divisor graph
• ZERO-DIVISOR GRAPHS OF MULTIPLICATION MODULES

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