A note on comaximal graph of non-commutative rings

DOI10.1007/s10468-011-9309-zzbMath1263.05042arXiv1007.3361OpenAlexW2166658099MaRDI QIDQ1950430

R. Manaviyat, Ali Majidinya, Mohammad Habibi, Saieed Akbari

Publication date: 13 May 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3361

zbMATH Keywords

complete \(n\)-partite graphcomaximal graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General commutative ring theory (13A99)

Related Items (17)

Automorphism group of the intersection graph of ideals over a matrix ring ⋮ Ideal based hypergraph of a commutative ring ⋮ The essential ideal graph of a commutative ring ⋮ Automorphisms of the co-maximal ideal graph over matrix ring ⋮ On the inclusion submodule graph of a module ⋮ Pendant and isolated vertices of comaximal graphs of modules ⋮ On graph associated to co-ideals of commutative semirings ⋮ The co-annihilating graph of a commutative ring ⋮ The \(k\)-maximal hypergraph of commutative rings ⋮ On the genus of the k-maximal hypergraph of commutative rings ⋮ Co-maximal signed graphs of commutative rings ⋮ Co-maximal ideal graphs of matrix algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some properties of comaximal right ideal graph of a ring ⋮ The Inclusion Ideal Graph of Rings

Cites Work

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• The total graph and regular graph of a commutative ring
• Graphs associated to co-maximal ideals of commutative rings
• Co-maximal graph of non-commutative rings
• Coloring of commutative rings
• A note on graphical representation of rings
• On zero-divisor graphs of finite rings.
• Comaximal graph of commutative rings

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