The prime ideals intersection graph of a ring

DOI10.14712/1213-7243.2015.205zbMath1463.05271OpenAlexW2749567292MaRDI QIDQ5357592

B. Soleymanzadeh, Mohammad Javad Nikmehr

Publication date: 11 September 2017

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2015.205

zbMATH Keywords

clique numberplanar graphprime ideals intersection graph of a ring

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Connectivity (05C40)

Cites Work

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• On bipartite zero-divisor graphs
• Coloring of commutative rings
• Characterizations of outerplanar graphs
• Rings of order \(p^5\). I: Nonlocal rings
• ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT
• THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING
• SOME RESULTS ON THE INTERSECTION GRAPHS OF IDEALS OF RINGS

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