Annihilator conditions on modules over commutative rings

DOI10.1142/S0219498817501432zbMath1453.13028OpenAlexW2494460903MaRDI QIDQ4975379

Sangmin Chun, Daniel D. Anderson

Publication date: 4 August 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817501432

zbMATH Keywords

annihilatorzero divisorsproperty \(T\)idealizationproperty \(A\)

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Other special types of modules and ideals in commutative rings (13C13) Torsion modules and ideals in commutative rings (13C12)

Related Items (11)

Countably McCoy rings ⋮ On Property (A) of rings and modules over an ideal ⋮ Unnamed Item ⋮ Baer submodules of modules over commutative rings ⋮ When is the idealization R⋉M an 𝒜-ring? ⋮ On proper strong Property (𝒜) for rings and modules ⋮ Unnamed Item ⋮ On the vanishing of annihilators of modules ⋮ On property (𝒜) for modules over direct products of rings ⋮ On property () of the amalgamated duplication of a ring along an ideal ⋮ The McCoy property in Ohm-Rush algebras

Cites Work

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• On the strong \((A)\)-rings of Mahdou and Hassani
• Idealization of a module
• Annihilation of ideals in commutative rings
• On strong \((A)\)-rings
• Rings with property (A) and their extensions.
• The diameter of a zero divisor graph
• Annihilator ideals, associated primes and kasch-mccoy commutative rings
• Two annihilator conditions:property(A)and(A.C.)
• Zero-Divisors, Torsion Elements, and Unions of Annihilators
• McCoy modules and related modules over commutative rings
• The Set of Torsion Elements of a Module
• Sur la compacité du spectre minimal d'un anneau

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