Zero-divisor graphs of nilpotent-free semigroups.

DOI10.1007/s10801-012-0377-xzbMath1283.20065arXiv1112.0185OpenAlexW3122838409MaRDI QIDQ1947194

Neil Epstein, Peyman Nasehpour

Publication date: 12 April 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0185

zbMATH Keywords

graph invariantszero-divisor graphscomaximal graphsannihilating-ideal graphsArmendariz mapsnilpotent-free semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Mappings of semigroups (20M15) Structure of finite commutative rings (13M05) General commutative ring theory (13A99)

Related Items (3)

The Zero-Divisor Graph of a Commutative Semigroup: A Survey ⋮ Eversible and reversible semigroups and semirings ⋮ The spectrum subgraph of the annihilating-ideal graph of a commutative ring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the coloring of the annihilating-ideal graph of a commutative ring
• On the diameter and girth of a zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• The zero-divisor graph of a commutative semigroup
• A note on graphical representation of rings
• Generalized closed sets in topology
• Modules Having Very Few Zero-Divisors
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• A Course in Commutative Algebra
• A note on extensions of Baer and P. P. -rings

This page was built for publication: Zero-divisor graphs of nilpotent-free semigroups.