When is the idealization R⋉M an 𝒜-ring?

DOI10.1142/S0219498820502278zbMath1446.13001OpenAlexW2982338550WikidataQ114614517 ScholiaQ114614517MaRDI QIDQ5133878

Mostafa Khaloui, Mouhssine El-Arabi, Samir Bouchiba

Publication date: 11 November 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820502278

zbMATH Keywords

annihilatorzero divisoridealization\( \mathcal{A} \)-module\( \mathcal{A} \)-ring\( \mathcal{SA} \)-module\( \mathcal{SA} \)-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) Torsion modules and ideals in commutative rings (13C12)

Related Items (5)

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

Cites Work

• Unnamed Item
• Unnamed Item
• 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.
• Annihilator ideals, associated primes and kasch-mccoy commutative rings
• Two annihilator conditions:property(A)and(A.C.)
• Annihilator conditions on modules over commutative rings
• 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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