On regular modules over commutative rings

DOI10.1007/s40840-017-0501-0zbMath1436.13026OpenAlexW2613695537MaRDI QIDQ2421373

Dawood Hassanzadeh-lelekaami, Hajar Roshan Shekalgourabi

Publication date: 17 June 2019

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0501-0

zbMATH Keywords

regular ringvon Neumann regular ringregular moduleNakayama's lemmaprime submodule.

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Structure, classification theorems for modules and ideals in commutative rings (13C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Other special types of modules and ideals in commutative rings (13C13) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (5)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Module-theoretic generalization of commutative von Neumann regular rings

Cites Work

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• Projective modules
• Prime submodules of Artinian modules
• Regular and semisimple modules
• Prime submodules of Noetherian modules
• Pure theories
• Prime submodules
• Saturations of Submodules
• On radicals of submodules
• Spectra of modules
• Endomorphism Rings of Projective Modules
• Regular Modules
• On finitely injective modules

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