On isomorphisms of generalized multifold extensions of algebras without nonzero oriented cycles

DOI10.1080/00927872.2020.1826958zbMath1487.16017arXiv1803.02969OpenAlexW3112992317MaRDI QIDQ5856279

Michio Yoshiwaki, Ken Nakashima, Hideto Asashiba, Mayumi Kimura

Publication date: 25 March 2021

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

Full work available at URL: https://arxiv.org/abs/1803.02969

zbMATH Keywords

group actionsorbit categoriesrepetitive categoriesgraded categoriesalgebra isomorphisms

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Automorphisms and endomorphisms (16W20) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Derived categories and associative algebras (16E35)

Cites Work

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• Jordan-Hölder theorems for derived module categories of piecewise hereditary algebras.
• A generalization of Gabriel's Galois covering functors and derived equivalences
• The derived equivalence classification of representation-finite selfinjective algebras
• Derived and stable equivalence classification of twisted multifold extensions of piecewise hereditary algebras of tree type
• The group of outer automorphisms and the Picard group of an algebra
• A generalization of Gabriel's Galois covering functors. II: 2-categorical Cohen-Montgomery duality
• Automorphisms of repetitive algebras.
• Automorphism groups of trivial extensions.

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