ON THE IDEMPOTENT GRAPH OF A RING

DOI10.1142/S0219498813500035zbMath1266.05051OpenAlexW1990462839MaRDI QIDQ4928309

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Publication date: 11 June 2013

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

Full work available at URL: https://doi.org/10.1142/s0219498813500035

zbMATH Keywords

idempotentchromatic numberclique numberdominating setidempotent 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) Idempotents, Peirce decompositions (17C27)

Related Items (7)

Some properties of the idempotent graph of a ring ⋮ Coidempotent graph of a ring ⋮ Subgraph of unitary Cayley graph of matrix algebras induced by idempotent matrices ⋮ Clean graph of a ring ⋮ Unnamed Item ⋮ The Inclusion Ideal Graph of Rings ⋮ Idempotent graphs, weak perfectness, and zero-divisor graphs

Cites Work

• Unnamed Item
• The total graph and regular graph of a commutative ring
• On zero-divisor graphs of small finite commutative rings
• The total graph of a commutative ring
• Graphs associated to co-maximal ideals of commutative rings
• On bipartite zero-divisor graphs
• Zero-divisor semigroups and refinements of a star graph.
• On zero-divisor graphs of finite rings.
• INDECOMPOSABILITY GRAPHS OF RINGS

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