On the vanishing of annihilators of modules

DOI10.1080/00927872.2019.1668004zbMath1434.13012OpenAlexW2979452356MaRDI QIDQ4959896

Samir Bouchiba

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1668004

zbMATH Keywords

annihilatorzero divisoridealization\(\mathcal{A}\)-module\(\mathcal{A}\)-ring\(\mathcal{SA}\)-module\(\mathcal{SA}\)-ringAV-moduleAV-ring

Mathematics Subject Classification ID

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

Related Items (4)

Countably McCoy rings ⋮ On Property (A) of rings and modules over an ideal ⋮ Unnamed Item ⋮ On property () of the amalgamated duplication of a ring along an ideal

Cites Work

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• On the strong \((A)\)-rings of Mahdou and Hassani
• Idealization of a module
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• Annihilation of ideals in commutative rings
• On strong \((A)\)-rings
• Rings with property (A) and their extensions.
• Annihilator ideals, associated primes and kasch-mccoy commutative rings
• Two annihilator conditions:property(A)and(A.C.)
• Annihilator conditions on modules over commutative rings
• When is the idealization R⋉M an 𝒜-ring?
• 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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