The \(M\)-principal graph of a commutative ring

DOI10.1007/S10998-014-0029-0zbMath1340.05125arXiv1305.6192OpenAlexW2142614293WikidataQ59322053 ScholiaQ59322053MaRDI QIDQ397091

F. Heydari, Mohammad Javad Nikmehr

Publication date: 14 August 2014

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6192

zbMATH Keywords

independence numberclique numbermodulecommutative ring\(M\)-principal graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Theory of modules and ideals in commutative rings (13C99) General commutative ring theory (13A99)

Related Items (3)

The M-intersection graph of ideals of a commutative ring ⋮ Unnamed Item ⋮ A graph theoretic method for securing key fobs

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
• The total graph and regular graph of a commutative ring
• The unit graph of a left Artinian ring
• The regular digraph of ideals of a commutative ring
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings

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