Representation-finite trivial extension algebras

DOI10.1016/0022-4049(84)90058-6zbMath0564.16027OpenAlexW1989416652MaRDI QIDQ1057970

Dieter Happel, Ibrahim Assem, Oscar Roldán

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90058-6

zbMATH Keywords

finite-dimensional algebrasiterated tilted algebrastrivial extensionDynkin classCartan classrepresentation-finite

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Centralizing and normalizing extensions (16S20) Representation theory of associative rings and algebras (16Gxx)

Related Items

Stable equivalence of representation-finite trivial extension algebras, Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\), Piecewise hereditary incidence algebras of Dynkin and extended Dynkin type, Repetitive algebras of iterated tilted algebras, On representation-finite gendo-symmetric algebras with only one non-injective projective module, On the coefficients of the Coxeter polynomial of an accessible algebra., Generalization of Yamagata's theorem on trivial extensions, From iterated tilted algebras to cluster-tilted algebras., On Krull-Gabriel dimension and Galois coverings, Cluster-tilted algebras without clusters., Embedding of the vertices of the Auslander-Reiten quiver of an iterated tilted algebra of Dynkin type \(\Delta\) in \(\mathbb{Z}\Delta\)., Stable equivalence of selfinjective Artin algebras of Dynkin type., Algebras of Derived Dimension Zero, Quadratic forms and iterated tilted algebras, Algebras with cycle-finite derived categories, On superderivations and super-biderivations of trivial extensions and triangular matrix rings, Report on the finiteness of silting objects, Poisson derivations and the first Poisson cohomology group on trivial extension algebras, Isomorphic trivial extensions of finite dimensional algebras.

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