The Zero-Divisor Graph Associated to a Semigroup

DOI10.1080/00927870903117527zbMath1228.20047OpenAlexW2037369601MaRDI QIDQ3057727

Larisa Greve, Jonathan Wang, Lisa DeMeyer, Arman Sabbaghi

Publication date: 17 November 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903117527

zbMATH Keywords

zero-divisor graphsrealization problemedge countingzero-divisors of semigroups

Mathematics Subject Classification ID

Applications of graph theory (05C90) Commutative semigroups (20M14) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (11)

THE ZERO-DIVISOR GRAPHS OF RINGS AND SEMIRINGS ⋮ Graph of Linear Transformations Over $$\mathbb {R}$$ ⋮ On the dot product of graphs over monogenic semigroups ⋮ Some remarks on the compressed zero-divisor graph ⋮ The Zero-Divisor Graph of a Commutative Semigroup: A Survey ⋮ Categorial properties of compressed zero-divisor graphs of finite commutative rings ⋮ Zero-divisor graph of abelian groups ⋮ Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph ⋮ Complemented zero-divisor graphs associated with finite commutative semigroups ⋮ Zero Divisor Graphs of Upper Triangular Matrix Rings ⋮ Zero Divisor Graphs of Finite Direct Products of Finite Rings

Cites Work

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• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Zero divisor graphs of semigroups.
• The zero-divisor graph of a commutative semigroup
• Sub-semigroups determined by the zero-divisor graph.
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• Zero-Divisor Semigroups and Some Simple Graphs

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