Zero-divisor graphs for modules over integral domains

DOI10.1142/S0219498817500876zbMath1414.13004MaRDI QIDQ5739056

Mohammad Baziar, Ehsan Momtahan, Saeed Safaeeyan

Publication date: 2 June 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

diametercomplete bipartite graphgirthmodulezero-divisor graph of modules

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)

Related Items (2)

Unnamed Item ⋮ Perpendicular graph of modules

Cites Work

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• The total graph of a commutative ring
• The zero-divisor graph of a commutative ring
• The subgroup graph of a group
• A module theoretic approach to zero-divisor graph with respect to (first) dual
• A GENERALIZATION OF THE ZERO-DIVISOR GRAPH FOR MODULES
• ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT
• On nonzero component graph of vector spaces over finite fields
• A ZERO-DIVISOR GRAPH FOR MODULES WITH RESPECT TO THEIR (FIRST) DUAL
• THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING
• On the Dot Product Graph of a Commutative Ring
• On the Annihilator Graph of a Commutative Ring
• Zero-divisor graph of abelian groups

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