Domination in the entire nilpotent element graph of a module over a commutative ring

DOI10.22199/issn.0717-6279-4737zbMath1483.13016OpenAlexW3216688335MaRDI QIDQ5065210

Jituparna Goswami, Masoumeh Shabani

Publication date: 18 March 2022

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-4737

zbMATH Keywords

nilpotent elementsdomination numberbondage numbernon-nilpotent elementsentire nilpotent element graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items

On domination in the total torsion element graph of a module, Unnamed Item

Cites Work

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• The total graph of a commutative ring
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• Idempotent and Nilpotent Submodules of Multiplication Modules
• The entire graph of a module with respect to a submodule