Every *-module is finitely generated

DOI10.1006/jabr.1994.1291zbMath0810.16007OpenAlexW1976226658WikidataQ57571366 ScholiaQ57571366MaRDI QIDQ1337435

Jan Trlifaj

Publication date: 17 April 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1291

zbMATH Keywords

equivalencetilting modulesfinitely generatedright modulequasi-projectiveinjective cogeneratorquasi-progenerator\(*\)-module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15)

Related Items (22)

Quasi-tilting modules and counter equivalences ⋮ Dimension estimates for representable equivalences of module categories ⋮ \(n\)-star modules over ring extensions. ⋮ co-\(*^s\)-modules. ⋮ Commutative rings in which every finitely generated ideal is quasi-projective ⋮ On a preprojective ∗-module ⋮ Tilting modules of finite projective dimension and a generalization of \(*\)-modules. ⋮ *- Modules over ring extensions ⋮ When every self-small module is finitely generated. ⋮ *-MODULES, TILTING, AND ALMOST ABELIAN CATEGORIES ⋮ Tilting equivalences for Grothendieck categories ⋮ co-∗ⁿ-modules ⋮ Equivalences and the tilting theory. ⋮ \(n\)-star modules and \(n\)-tilting modules. ⋮ Estimates of global dimension ⋮ Finitely cotilting modules ⋮ Modules Commuting (Via Hom) with Some Colimits ⋮ \(\tau\)-tilting theory and \(*\)-modules. ⋮ (n,t)-Quasi-Projective and Equivalences ⋮ Global dimension of the endomorphism ring and \(*^n\)-modules. ⋮ \(*^s\)-modules. ⋮ Morita equivalence for infinite matrix rings

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