Intersection graphs of ideals of rings

DOI10.1016/j.endm.2005.06.104zbMath1193.05086OpenAlexW2174782663MaRDI QIDQ5899377

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Publication date: 29 May 2007

Published in: Electronic Notes in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.endm.2005.06.104

zbMATH Keywords

bipartite graphcyclesintersection graphHamiltonian graphEulerian graphArtinian ringsplanar graphconnected graphcomplete graphfinite ringsideals of ringsunordered factorizations

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Ideals and multiplicative ideal theory in commutative rings (13A15) Ideals in associative algebras (16D25) Structure of finite commutative rings (13M05)

Related Items (7)

Unnamed Item ⋮ Unnamed Item ⋮ Numerical solution of solid mechanics problems using a boundary-only and truly meshless method ⋮ THE INTERSECTION GRAPH OF GAMMA SETS IN THE TOTAL GRAPH OF A COMMUTATIVE RING-I ⋮ Intersection graphs of subgroups of finite groups ⋮ Unnamed Item ⋮ On the intersection graph of gamma sets in the zero-divisor graph

Cites Work

• A characterization of semirings which are subdirect products of a distributive lattice and a ring
• The zero-divisor graph of a commutative ring
• On the ideal theory of graphs
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• Exchange Rings Satisfying the n-Stable Range Condition, II
• Sur deux propriétés des classes d'ensembles
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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