Serial functors, Jacobson radical and representation type.

DOI10.1016/S0022-4049(01)00133-5zbMath1060.16019OpenAlexW2038515243MaRDI QIDQ1602675

Jan Schröer, M. Y. Prest

Publication date: 24 June 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(01)00133-5

zbMATH Keywords

finitely presented functorsstring algebrascategories of finitely presented functorsrepresentation typesdomestic representation typeserial functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Representations of quivers and partially ordered sets (16G20) Categorical embedding theorems (18E20)

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Cites Work

• The Ziegler and Zariski spectra of some domestic string algebras.
• Maps between tree and band modules
• Tame algebras and integral quadratic forms
• Maps between representations of zero-relation algebras
• On the Krull-Gabriel dimension of an algebra
• The spectrum of a module category
• On the Infinite Radical of a Module Category
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP
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