The zero-divisor graphs of posets and an application to semigroups

DOI10.1007/s00373-010-0955-4zbMath1223.05115OpenAlexW2018151609MaRDI QIDQ607688

Dancheng Lu, Tong Suo Wu

Publication date: 3 December 2010

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-010-0955-4

zbMATH Keywords

partially ordered setcompact graphgeneralized complete \(r\)-partite graphreduced semigroup

Mathematics Subject Classification ID

Commutative semigroups (20M14) Combinatorics of partially ordered sets (06A07) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

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Cites Work

• Unnamed Item
• On extensions of ideals in posets
• On Beck's coloring of posets
• Coloring of commutative rings
• Beck's coloring of a commutative ring
• Zero divisor graphs of semigroups.
• The zero-divisor graph of a commutative semigroup
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• On weakly cut-stable maps
• Sub-semigroups determined by the zero-divisor graph.
• A decomposition theorem for partially ordered sets
• Annihilators and ideals in ordered sets

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