Almost *-modules need not be finitely generated

DOI10.1080/00927879308824686zbMath0781.16002OpenAlexW1977125300WikidataQ57571372 ScholiaQ57571372MaRDI QIDQ5287580

Jan Trlifaj

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824686

zbMATH Keywords

Morita equivalencesprogeneratorstorsion theoryvon Neumann regular ringfinitely generatedMorita theoremsmall modules*-modulesquasi-progeneratorsColpi condition

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

Small Modules over Abelian Regular Rings ⋮ Steadiness of regular semiartinian rings with primitive factors Artinian. ⋮ Algebras with few ∗-modules ⋮ Classes of generalized ∗-modules ⋮ When every self-small module is finitely generated.

Cites Work

• Density and equivalence
• On the structure of *-modules
• Localizations in categories of modules. I
• Tilting, cotilting, and serially tilted rings
• Some remarks on equivalences between categories of modules
• Uniserial modules: sums and isomorphisms of subquotients
• Equivalences between projective and injective modules and morita duality for artinian rings
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