The annihilating-ideal graph of commutative semigroups

DOI10.1016/j.jalgebra.2016.09.013zbMath1401.20070OpenAlexW2519889131MaRDI QIDQ330173

Anna Schneider, Lisa DeMeyer

Publication date: 24 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.09.013

zbMATH Keywords

graphcommutative semigroupszero-divisorannihilating-ideal

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Coloring of graphs and hypergraphs (05C15)

Related Items

The Zero-Divisor Graph of a Commutative Semigroup: A Survey ⋮ ON WEAKLY PERFECT ANNIHILATING-IDEAL GRAPHS

Cites Work

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• On the coloring of the annihilating-ideal graph of a commutative ring
• The zero-divisor graphs of posets and an application to semigroups
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Zero divisor graphs of semigroups.
• The zero-divisor graph of a commutative semigroup
• Semigroups with no non-zero nilpotent elements
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• On the Annihilator Graph of a Commutative Ring
• Artinian Local Rings Whose Annihilating-ideal Graphs Are Star Graphs
• The annihilator graph of a commutative semigroup
• On the ideal theory of commutative semi-groups