On torsion elements and their annihilators
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Publication:2675062
DOI10.1016/j.jalgebra.2022.07.009zbMath1495.13021OpenAlexW4288045452MaRDI QIDQ2675062
Shahriar Shahriari, Zahra Abdollah, Shaban Ghalandarzadeh, Parastoo Malakooti Rad
Publication date: 20 September 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.07.009
modulesannihilatorsmultiplication moduleszero-divisor graphsreduced modulestorsion elementsannihilator graphs
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Theory of modules and ideals in commutative rings described by combinatorial properties (13C70)
Cites Work
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- On the diameter and girth of a zero-divisor graph
- Some remarks on the compressed zero-divisor graph
- Coloring of commutative rings
- The zero-divisor graph of a commutative ring
- Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
- Criteria for a direct sum of modules to be a multiplication module over noncommutative rings
- On the diameter of the graph ГAnn(M)(R)
- CYCLES AND SYMMETRIES OF ZERO-DIVISORS
- Zero-divisor graphs in commutative rings
- On the Annihilator Graph of a Commutative Ring
- A GENERAL THEORY OF ZERO-DIVISOR GRAPHS OVER A COMMUTATIVE RING
- Multiplication modules
- Multiplication modules