Applications of model theory to representations of finite-dimensional algebras

DOI10.1007/BF01218373zbMath0445.16020MaRDI QIDQ1145198

Helmut Lenzing, Christian Herrmann, Christian U. Jensen

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173089

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Model-theoretic algebra (03C60) Representation theory of associative rings and algebras (16Gxx)

Related Items

Algebraic theories with definable Skolem functions, Pure-semisimplicity is preserved under elementary equivalence, Ultrapuissances et algebres de representation finie, On a class of nontriangular representation-finite algebras forming an open \(\mathbb Z\)-scheme., The representation theories of elementarily equivalent rings, On tame strongly simply connected algebras, Rings of finite representation type and modules of finite Morley rank, Auslander-reiten quivers of schurian orders

Cites Work

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• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Homological dimension and representation type of algebras under base field extension
• Classification theory and the number of non-isomorphic models
• On the Model Theory of Finite-Dimensional Algebras
• Representation theory of artin algebras iii almost split sequences
• Bounds on transfer principles for algebraically closed and complete discretely valued fields
• The Inductive Step of the Second Brauer-Thrall Conjecture
• Representation Theory of Artin Algebras II