On the complement of the intersection graph of submodules of a module

DOI10.1142/S0219498815501169zbMath1314.05093OpenAlexW2076925595MaRDI QIDQ5255738

Saieed Akbari, Hamid A. Tavallaee, Somayeh Khalashi Ghezelahmad

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1142/s0219498815501169

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative Noetherian rings and modules (13E05) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Combinatorial aspects of commutative algebra (05E40)

Related Items (16)

Resolvability in complement of the intersection graph of annihilator submodules of a module ⋮ Some results on the co-intersection graph of submodules of a module ⋮ Prime intersection graph of ideals of a ring ⋮ A graph related to the join of subgroups of a finite group. ⋮ The complement of the intersection graph of ideals of a poset ⋮ The intersection graph of annihilator submodules of a module ⋮ The intersection subgroup graph of a group ⋮ On the inclusion submodule graph of a module ⋮ ON THE COMPLEMENT OF THE ZERO-DIVISOR GRAPH OF A PARTIALLY ORDERED SET ⋮ Applying a hypergraph to determine the structure of some finite modules ⋮ On the connectedness of the complement of the zero-divisor graph of a poset ⋮ Planarity of the intersection graph of subgroups of a finite group ⋮ A graph theoretic method for securing key fobs ⋮ Finite groups with regular join graph of subgroups ⋮ A NEW CLASS OF WEAKLY PERFECT GRAPHS ATTACHED TO S-ACTS ⋮ Unnamed Item

Cites Work

• Subspace intersection graphs
• Intersection graphs of subgroups of finite groups
• Submodule lattices of direct sums
• INTERSECTION GRAPH OF SUBMODULES OF A MODULE
• Intersection graphs of ideals of rings

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