ON THE COZERO-DIVISOR GRAPHS AND COMAXIMAL GRAPHS OF COMMUTATIVE RINGS

DOI10.1142/S0219498812501733zbMath1262.05075WikidataQ58841470 ScholiaQ58841470MaRDI QIDQ4916163

Kazem Khashyarmanesh, Mojgan Afkhami

Publication date: 19 April 2013

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

zbMATH Keywords

cozero-divisor graphidealizationcomaximal graph

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General commutative ring theory (13A99)

Related Items (7)

Comparison of graphs associated to a commutative Artinian ring ⋮ On the cozero-divisor graphs associated to rings ⋮ Coloring of cozero-divisor graphs of commutative von Neumann regular rings ⋮ Some results on a supergraph of the comaximal ideal graph of a commutative ring ⋮ Metric and strong metric dimension in cozero-divisor graphs ⋮ SOME CRITERIA FOR THE FINITENESS OF COZERO-DIVISOR GRAPHS ⋮ TOTAL GRAPHS OF POLYNOMIAL RINGS AND RINGS OF FRACTIONS

Cites Work

• Unnamed Item
• Idealization of a module
• Graphs associated to co-maximal ideals of commutative rings
• Co-maximal graph of non-commutative rings
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• A note on graphical representation of rings
• Comaximal graph of commutative rings
• Properties of rings with a finite number of zero divisors
• Zero-divisor graphs of idealizations
• ON THE STRUCTURE OF COMAXIMAL GRAPHS OF COMMUTATIVE RINGS WITH IDENTITY

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