The endomorphism ring of a localized coherent functor

DOI10.1006/jabr.1997.6920zbMath0873.16009OpenAlexW2002221512MaRDI QIDQ1357568

Ivo Herzog

Publication date: 8 July 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.6920

zbMATH Keywords

endomorphism ringsfinite-dimensional algebrasgeneric modulesSerre subcategoriesKrull-Gabriel dimensionlocalisationsArtin \(C\)-algebrascategories of additive functorscategories of finitely presented objectsfinite length functorsfree Abelian categories

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Model-theoretic algebra (03C60) Module categories in associative algebras (16D90) Representations of associative Artinian rings (16G10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Functor categories, comma categories (18A25) Localization of categories, calculus of fractions (18E35)

Related Items

Maranda’s theorem for pure-injective modules and duality, Unnamed Item, Endofinite modules and pure semisimple rings., Krull–Gabriel dimension of domestic string algebras, Relative homological algebra and purity in triangulated categories, The Krull-Gabriel dimension of discrete derived categories, The torsion-free part of the Ziegler spectrum of the Klein four group, Krull–Gabriel dimension and the Ziegler spectrum, The Krull–Gabriel Dimension of a Serial Ring, COHOMOLOGICAL LENGTH FUNCTIONS

Cites Work

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• Preprojective modules over Artin algebras
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• Des catégories abéliennes