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Annihilator Ideal-Based Zero-Divisor Graphs Over Multiplication Modules

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Publication:2839101
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DOI10.1080/00927872.2011.638353zbMath1285.13011OpenAlexW2080973273MaRDI QIDQ2839101

S. Shirinkam, Parastoo Malakooti Rad, Shaban Ghalandarzadeh

Publication date: 4 July 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.638353


zbMATH Keywords

von Neumann regular ringsmultiplication modulesannihilator ideal-based zero-divisor graph


Mathematics Subject Classification ID

Graph theory (05C99) Theory of modules and ideals in commutative rings (13C99) General commutative ring theory (13A99)


Related Items (1)

On the Dot Product Graph of a Commutative Ring



Cites Work

  • Unnamed Item
  • The total graph of a commutative ring
  • The zero-divisor graph of a commutative ring
  • The zero-divisor graph of a commutative semigroup
  • Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
  • Zero-divisor graphs in commutative rings
  • On the Zero-Divisor Graph of a Ring
  • An Ideal-Based Zero-Divisor Graph of a Commutative Ring
  • Rings having zero-divisor graphs of small diameter or large girth
  • Multiplication modules
  • Multiplication modules




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