INTERSECTION GRAPH OF A MODULE

DOI10.1142/S0219498812502180zbMath1410.16002arXiv1208.1897MaRDI QIDQ4923189

Ergün Yaraneri

Publication date: 5 June 2013

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

Full work available at URL: https://arxiv.org/abs/1208.1897

zbMATH Keywords

planaritychromatic numberdomination numbercomponentsubmodulenumber of submodulesIntersection graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) General module theory in associative algebras (16D10)

Related Items (22)

Some properties of intersection graph of a module with an application of the graph of ℤ_n ⋮ Characterization of graphs associated with the ideal of numerical semigroups ⋮ Intersection graphs of cyclic subgroups of groups ⋮ Abelian groups with isomorphic intersection graphs ⋮ Some results on the co-intersection graph of submodules of a module ⋮ Geometric approach to the MacWilliams extension theorem for codes over module alphabets ⋮ Unnamed Item ⋮ The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions ⋮ On graphs of bounded semilattices ⋮ On the inclusion submodule graph of a module ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The large sum graph related to comultiplication modules ⋮ Dominating sets in intersection graphs of finite groups ⋮ When the extension property does not hold ⋮ Planarity of the intersection graph of subgroups of a finite group ⋮ Finite groups with regular join graph of subgroups ⋮ Modules with Finitely Many Submodules ⋮ A NEW CLASS OF WEAKLY PERFECT GRAPHS ATTACHED TO S-ACTS ⋮ Unnamed Item ⋮ A graph associated to proper non-small ideals of a commutative ring

Cites Work

• Unnamed Item
• Subspace intersection graphs
• Infinite versus finite graph domination
• Correspondence theorems for modules and their endomorphism rings
• Proof of a conjecture on finite modular lattices
• MAXIMAL IDEALS IN PREADDITIVE CATEGORIES AND SEMILOCAL CATEGORIES
• Intersection graphs of subgroups of finite groups
• Submodule lattices of direct sums
• Intersection graphs of ideals of rings

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