The exact annihilating-ideal graph of a commutative ring

DOI10.13069/jacodesmath.938105zbMath1491.13008OpenAlexW3161024720MaRDI QIDQ3390309

Premkumar T. Lalchandani, S. Visweswaran

Publication date: 24 March 2022

Published in: Journal of Algebra Combinatorics Discrete Structures and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13069/jacodesmath.938105

zbMATH Keywords

connectednessreduced ringspecial principal ideal ringexact annihilating idealexact annihilating-ideal graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15)

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Cites Work

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• On the coloring of the annihilating-ideal graph of a commutative ring
• Coloring of commutative rings
• Beck's coloring of a commutative ring
• Free resolutions over short Gorenstein local rings
• On the complement of a graph associated with the set of all nonzero annihilating ideals of a commutative ring
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• Unit Action and the Geometric Zero-Divisor Ideal Graph
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings
• A textbook of graph theory

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