On representation-finite gendo-symmetric algebras with only one non-injective projective module

DOI10.1016/j.jalgebra.2022.04.002OpenAlexW3113571011WikidataQ121878471 ScholiaQ121878471MaRDI QIDQ2134016

Takuma Aihara, Takahiro Honma, Aaron C. S. Chan

Publication date: 5 May 2022

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

Full work available at URL: https://arxiv.org/abs/2012.14994

zbMATH Keywords

symmetric algebrarepresentation-finite algebraalmost \(\nu\)-stable derived equivalencegendo-symmetric algebra

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A bocs theoretic characterization of gendo-symmetric algebras
• Endomorphism algebras of generators over symmetric algebras.
• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• Representation-finite trivial extension algebras
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Group representations without groups
• Polynomial representations of \(GL_n\)
• Selfinjective and simply connected algebras
• The derived equivalence classification of representation-finite selfinjective algebras
• On a lift of an individual stable equivalence to a standard derived equivalence for representation-finite self-injective algebras.
• On representation-finite gendo-symmetric biserial algebras
• Derived categories and stable equivalence
• Equivalences of derived categories for symmetric algebras.
• Upper bounds for dominant dimensions of gendo-symmetric algebras
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Gendo-symmetric algebras, canonical comultiplication, bar cocomplex and dominant dimension
• Derived equivalences and stable equivalences of Morita type, I
• Tame and wild matrix problems
• Symmetrische Algebren vom endlichen Modultyp.
• Trivial Extensions of Tilted Algebras
• Weakly symmetric algebras of Euclidean type
• Representation Theory of Artin Algebras II
• ON QUASI-BASS ORDERS

This page was built for publication: On representation-finite gendo-symmetric algebras with only one non-injective projective module