On the annihilator submodules and the annihilator essential graph

DOI10.1007/S40306-018-00306-1zbMath1428.13010OpenAlexW2911086894MaRDI QIDQ2337357

Esra Sengelen Sevim, Sh. Payrovi, S. Babaei

Publication date: 19 November 2019

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-018-00306-1

zbMATH Keywords

zero divisor graphannihilator essential graphannihilator submodule

Mathematics Subject Classification ID

Graph theory (05C99) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (7)

THE ANNIHILATOR GRAPH FOR MODULED OVER COMMUTATIVE RINGS ⋮ Resolvability in complement of the intersection graph of annihilator submodules of a module ⋮ The intersection graph of annihilator submodules of a module ⋮ The extended graph of a module over a commutative ring ⋮ Generalized essential submodule graph of an \(R\)-module ⋮ Unnamed Item ⋮ On the compressed essential graph of a module over a commutative ring

Cites Work

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• Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• On the spectrum of a module over a commutative ring
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• On the Annihilator Graph of a Commutative Ring
• The Set of Torsion Elements of a Module
• Multiplication modules

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