On seminoetherian rings and modules

DOI10.1080/00927872.2022.2083142zbMath1498.13021OpenAlexW4283738803MaRDI QIDQ5038104

Farid Kourki, Rachid Tribak

Publication date: 29 September 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2083142

zbMATH Keywords

Gabriel dimensionconoetherian idealsmodules (rings) having enough noetheriansseminoetherian modules (rings)

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Other classes of modules and ideals in associative algebras (16D80) General module theory in associative algebras (16D10) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• Profondeur, hauteur et localisations en algèbre non commutative
• On commutative trivial extensions
• On rings and modules with DICC
• On DICC rings
• Loewy and Artinian modules over commutative rings
• Commutative coherent rings
• On semi-artinian \(V\)-modules
• La filtrazione di Gabriel. II
• The Gabriel dimension of a module
• Annihilator ideals, associated primes and kasch-mccoy commutative rings
• Rings Over which the Krull Dimension and the Noetherian Dimension of All Modules Coincide
• THE SPACE OF FINITELY GENERATED RINGS
• Finite generation of powers of ideals
• On rings whose artinian modules are precisely noetherian modules
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• Associated Prime Ideals in Non-Noetherian Rings
• The Dual of the Notion of “Finitely Generated”
• Des catégories abéliennes
• Krull dimension
• CS-Modules with ACC or DCC on essential submodules
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