The Zero-Divisor Graph of a Commutative Semigroup: A Survey

DOI10.1007/978-3-319-51718-6_2zbMath1436.20113OpenAlexW2620664287MaRDI QIDQ3298245

Ayman Badawi, David F. Anderson

Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51718-6_2

zbMATH Keywords

latticeposetsemigroupzero-divisor graphannihilator graphsemi-lattice

Mathematics Subject Classification ID

Commutative semigroups (20M14) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

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Unnamed Item, The n-zero-divisor graph of a commutative semigroup, Graph of Linear Transformations Over $$\mathbb {R}$$, The intersection subgroup graph of a group, A Note on the Uniqueness of Zero-Divisor Graphs with Loops (Research), Classification of rings with toroidal annihilating-ideal graph, The maximal degree of a zero-divisor graph, The total zero-divisor graph of a commutative ring, On gracefully and harmoniously labeling zero-divisor graphs

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