Tilting functors and stable equivalences for selfinjective algebras

DOI10.1016/0021-8693(87)90169-4zbMath0616.16012OpenAlexW2072754306MaRDI QIDQ1821182

Hiroyuki Tachikawa, Takayoshi Wakamatsu

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90169-4

zbMATH Keywords

repetitive algebrasfinite dimensional algebratilting moduletrivial extensionsstable equivalenceminimal injective cogenerators

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Representation theory of associative rings and algebras (16Gxx)

Related Items (18)

Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\) ⋮ Tilting modules and Auslander's Gorenstein property. ⋮ A Generalized Version of the Tilting Theorem ⋮ COMPLEXITY OF TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS ⋮ Derived equivalence of algebras ⋮ Vanishing of self-extensions over symmetric algebras. ⋮ Tame generalized canonical algebras. ⋮ Generating relations for Grothendieck groups of trivial extension algebras. ⋮ Partial cotilting modules and the lattices induced by them ⋮ On constructing stably equivalent functors ⋮ Grothendieck groups of subcategories ⋮ Stable equivalence of selfinjective Artin algebras of Dynkin type. ⋮ Algebras with cycle-finite derived categories ⋮ Derived categories and stable equivalence ⋮ On Trivial Extensions of 2-Fundamental Algebras^# ⋮ A generalization of trivial extension algebras. ⋮ Stable equivalence for self-injective algebras and a generalization of tilting modules ⋮ Algebras stably equivalent to the trivial extensions of hereditary and tubular algebras

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• COXETER FUNCTORS AND GABRIEL'S THEOREM
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