Algebras with cycle-finite derived categories

DOI10.1007/BF01456336zbMath0617.16017OpenAlexW2017262650MaRDI QIDQ1821853

Ibrahim Assem, Andrzej Skowroński

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/164374

zbMATH Keywords

triangulated categoryiterated tilted algebrasrepetitive algebrastubefinite-dimensional algebratubular algebrasrepresentation-infinitebound quivercotiltsderived category of bounded complexes of finite-dimensional right modulestilts

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Representation theory of associative rings and algebras (16Gxx)

Related Items

Tame biextensions of derived tame hereditary algebras. ⋮ The Krull-Gabriel dimension of cycle-finite Artin algebras ⋮ Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\) ⋮ Piecewise hereditary incidence algebras of Dynkin and extended Dynkin type ⋮ Derived equivalence classification of weakly symmetric algebras of Euclidean type. ⋮ Derived dynkin extensions ⋮ Tilted Algebras of Type 𝔸˜_n ⋮ COMPLEXITY OF TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS ⋮ Cycles of modules and finite representation type ⋮ Selfinjective algebras of polynomial growth ⋮ Piecewise hereditary algebras ⋮ Cycle-finite algebras having finitely many indecomposable modules lying on short paths with injective source and projective target ⋮ On Krull-Gabriel dimension and Galois coverings ⋮ A characterization of cycle-finite generalized double tilted algebras. ⋮ Tilting modules and a theorem of Hoshino ⋮ On simple-minded systems over domestic Brauer graph algebras ⋮ On algebras of generalized standard semiregular type ⋮ Minimal representation-infinite coil algebras ⋮ On the number of terms in the middle of almost split sequences over cycle-finite Artin algebras. ⋮ Classification of discrete derived categories ⋮ Finiteness of the strong global dimension of radical square zero algebras. ⋮ On the number of tame concealed convex subcategories in cycle-finite algebras ⋮ Topological invariants of piecewise hereditary algebras ⋮ A homological characterization of piecewise hereditary algebras. ⋮ Periodicity of self-injective algebras of polynomial growth ⋮ Algebras with cycle-finite Galois coverings ⋮ The strong global dimension of piecewise hereditary algebras ⋮ Finite cycles of indecomposable modules. ⋮ On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras ⋮ Derived-tame blowing-up of tree algebras. ⋮ Stable equivalence of selfinjective Artin algebras of Dynkin type. ⋮ On the first Hochschild cohomology group of a cluster-tilted algebra ⋮ On tame repetitive categories of non-polynomial growth ⋮ Cycle-Finite Algebras with Finitely Many τ-Rigid Indecomposable Modules ⋮ Quadratic forms and iterated tilted algebras ⋮ Forms of algebras stably equivalent to self-injective algebras of polynomial growth ⋮ Unnamed Item ⋮ Algebras stably equivalent to selfinjective algebras whose Auslander-Reiten quivers consist only of generalized standard components ⋮ Cycle-finite modules over artin algebras ⋮ Cycle-Finite Module Categories ⋮ Simply connected tame quasi-tilted algebras

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