On nonnil-coherent modules and nonnil-Noetherian modules

DOI10.1515/math-2022-0526OpenAlexW4312603144MaRDI QIDQ2111843

Younes El Haddaoui, Hwankoo Kim, Najib Mahdoua

Publication date: 17 January 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0526

zbMATH Keywords

\(\phi\)-coherent ringnonnil-coherent ringnonnil-Noetherian ring\(\phi\)-submodulenonnil-coherent modulenonnil-Noetherian module

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonnil-coherent rings
• Chain conditions in amalgamated algebras along an ideal
• Foundations of commutative rings and their modules
• Idealization of a module
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Trivial extensions defined by Prüfer conditions
• Commutative coherent rings
• \(D+M\) constructions with general overrings
• Amalgamated algebras issued from \(\phi\)-chained rings and \(\phi\)-pseudo-valuation rings
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
• On Nonnil-Noetherian Rings
• ON φ-VON NEUMANN REGULAR RINGS
• NONNIL-NOETHERIAN MODULES OVER COMMUTATIVE RINGS
• Some remarks on Nonnil-coherent rings and ϕ-IF rings
• Prüfer rings in a certain pullback

This page was built for publication: On nonnil-coherent modules and nonnil-Noetherian modules