Classification of rings with toroidal and projective coannihilator graph

DOI10.1155/2021/4384683zbMath1477.13018OpenAlexW3169746652MaRDI QIDQ2230031

Mohd. Nazim, Nadeem ur Rehman, Abdulaziz M. Alanazi

Publication date: 17 September 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/4384683

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of finite commutative rings (13M05) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (2)

On the planarity, genus and crosscap of new extension of zero-divisor graph of commutative rings ⋮ On the genus of extended zero-divisor graph of commutative rings

Cites Work

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• The cozero-divisor graph of a commutative ring
• Zero-divisor graphs of genus one
• Classification of rings with projective zero-divisor graphs
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• The coannihilator graph of a commutative ring
• PLANAR, OUTERPLANAR, AND RING GRAPH OF THE COZERO-DIVISOR GRAPH OF A FINITE COMMUTATIVE RING
• On the Annihilator Graph of a Commutative Ring
• Classification of Rings with Genus One Zero-Divisor Graphs
• When metric and upper dimensions differ in zero divisor graphs of commutative rings

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