COMPLEXITY OF TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS

DOI10.1142/S0219498812500673zbMath1263.16021OpenAlexW2123344902MaRDI QIDQ2909797

Marju Purin

Publication date: 6 September 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812500673

zbMATH Keywords

tilting modulesderived equivalencesiterated tilted algebrasAuslander-Reiten quiversstable equivalencescomplexities of modulestrivial extensionsrepresentation typesself-injective algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Resolutions; derived functors (category-theoretic aspects) (18G10) Derived categories and associative algebras (16E35)

Related Items (1)

\(\tau\)-complexity of cluster tilted algebras.

Cites Work

• Radical cube zero selfinjective algebras of finite complexity.
• Tame algebras and integral quadratic forms
• Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
• Extensions over hereditary Artinian rings with self-dualities. I
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Sur les valeurs propres de la transformation de Coxeter
• Domestic trivial extensions of simply connected algebras
• The spectral radius of the Coxeter transformations for a generalized Cartan matrix
• Stable equivalence preserves representation type
• Self-injective algebras of wild tilted type
• Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner
• Tilting functors and stable equivalences for selfinjective algebras
• Algebras with cycle-finite derived categories
• Support varieties for selfinjective algebras.
• Auslander-Reiten theory for modules of finite complexity over self-injective algebras
• Complexity and periodicity
• Generalized tilted algebras of type a_n
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms

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