On projective intersection graph of ideals of commutative rings

DOI10.1142/S0219498821500171zbMath1464.05184OpenAlexW2986083775WikidataQ126790498 ScholiaQ126790498MaRDI QIDQ4988203

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Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821500171

zbMATH Keywords

intersection graphcommutative ringscrosscapembedding graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Ideals and multiplicative ideal theory in commutative rings (13A15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items

Hyperideal-based intersection graphs ⋮ A survey on the Intersection graphs of ideals of rings ⋮ A note on subspace sum graph of vector spaces

Cites Work

• Cayley graphs of ideals in a commutative ring
• Classification of rings with projective zero-divisor graphs
• Classification of non-local rings with projective 3-zero-divisor hypergraph
• Toroidality of intersection graphs of ideals of commutative rings
• The \(k\)-annihilating-ideal hypergraph of commutative ring
• Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• ON THE GENUS OF THE INTERSECTION GRAPH OF IDEALS OF A COMMUTATIVE RING
• CAYLEY SUM GRAPHS OF IDEALS OF A COMMUTATIVE RING
• Intersection graphs of ideals of rings
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