A new graph associated to a commutative ring

DOI10.1142/S1793830916500294zbMath1354.13003MaRDI QIDQ3178159

Abbas Alilou, Jafar Amjadi, Seyyed Mahmoud Sheikholeslami

Publication date: 8 July 2016

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

commutative ringannihilating ideal graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (5)

The essential ideal graph of a commutative ring ⋮ On the genus of the graph associated to a commutative ring ⋮ The co-annihilating graph of a commutative ring ⋮ Some results on a spanning subgraph of the complement of the annihilating-ideal graph of a commutative reduced ring ⋮ Classification of rings with toroidal co-annihilating-ideal graphs

Cites Work

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• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings
• The Annihilating-Ideal Graph of a Commutative Ring with Respect to an Ideal
• On the Noetherian-like rings of E. G. Evans

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