On commutative rings whose maximal ideals are idempotent

DOI10.14712/1213-7243.2019.012OpenAlexW2991286545WikidataQ126764401 ScholiaQ126764401MaRDI QIDQ5206482

Farid Kourki, Rachid Tribak

Publication date: 18 December 2019

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/147861

zbMATH Keywords

modules of finite lengthquasi-injective modulequasi-projective moduleNoetherian moduleartinian moduleradical-fine class of modulessocle-fine class of modules

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Other special types of modules and ideals in commutative rings (13C13) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Cites Work

• Regular modules and V-modules
• Dual generalizations of the Artinian and Noetherian conditions
• Krull dimension and Noetherianness
• Regular and semisimple modules
• Modules whose certain submodules are prime.
• Decomposition of modules. II: Rings without chain conditions
• C4-Modules
• C3-Modules
• V-Modules with krull dimension
• Nouvelles caracterisations des v-anneaux et des anneaux pseudo-frobeniusiens¹
• D4-Modules
• D3-Modules
• COMMUTATIVE TALL RINGS
• Rings Whose Quasi-Injective Modules are Injective
• Krull dimension
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