On the essential annihilating-ideal graph of commutative rings

DOI10.26493/1855-3974.2645.8fczbMath1495.13015OpenAlexW3213265554MaRDI QIDQ5089708

Nadeem ur Rehman, Mohd. Nazim

Publication date: 15 July 2022

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.2645.8fc

zbMATH Keywords

planar graphcomplete graphannihilating-ideal graphzero-divisor graphgenus of a graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Ideals and multiplicative ideal theory in commutative rings (13A15) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

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Cites Work

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• Minimal prime ideals and cycles in annihilating-ideal graphs
• On the coloring of the annihilating-ideal graph of a commutative ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• The zero-divisor graph of a commutative semigroup
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• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• THE ZERO-DIVISOR GRAPHS OF RINGS AND SEMIRINGS
• Classification of rings with toroidal annihilating-ideal graph
• On the genus of the graph associated to a commutative ring
• More on the annihilator-ideal graph of a commutative ring
• On the essential graph of a commutative ring
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings
• The Annihilating-Ideal Graph of a Commutative Ring with Respect to an Ideal

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