On modules satisfying the descending chain condition on r-submodules

DOI10.1080/00927872.2021.1958828zbMath1478.13029OpenAlexW3196136372MaRDI QIDQ5027509

Adam Anebri, Unsal Tekir, Najib Mahdoua

Publication date: 4 February 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1958828

zbMATH Keywords

idealization\(r\)-ideal\(r\)-submodule\(r\)-Artinian module\(r\)-Artinian ringS-Artinian module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Rings of fractions and localization for commutative rings (13B30)

Related Items

The dual notion of $r$-submodules of modules, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Idealization of a module
• Trivial extensions defined by Prüfer conditions
• Commutative coherent rings
• The dual notion of multiplication modules.
• Trivial Extensions Defined by Coherent-like Conditions
• S-NOETHERIAN RINGS
• S-Artinian rings and finitely S-cogenerated rings
• $r$-ideals in commutative rings
• r -Submodules and sr-Submodules
• Multiplication modules
• Multiplication modules