A generalization of the zero-divisor graph for modules

DOI10.2298/PIM1920039NzbMath1474.05188WikidataQ126632418 ScholiaQ126632418MaRDI QIDQ4985662

Sh. Payrovi, Katayoun Nozari

Publication date: 24 April 2021

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

zbMATH Keywords

diametercomplete bipartite graphgirthzero divisor

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Theory of modules and ideals in commutative rings (13C99) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (5)

THE ANNIHILATOR GRAPH FOR MODULED OVER COMMUTATIVE RINGS ⋮ The extended graph of a module over a commutative ring ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• On the diameter and girth of a zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• The compressed annihilator graph of a commutative ring
• On the zero-divisor graph of a commutative ring
• Zero divisor graphs for modules over commutative rings
• A GENERALIZATION OF THE ZERO-DIVISOR GRAPH FOR MODULES
• The zero-divisor graph of a commutative ring without identity
• On the essential graph of a commutative ring
• On the Annihilator Graph of a Commutative Ring

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