An application of a theorem of Sheila Brenner for Hochschild extension algebras of a truncated quiver algebra

DOI10.1007/s10468-020-10018-6OpenAlexW3126932028MaRDI QIDQ2071270

Hideyuki Koie

Publication date: 25 January 2022

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11635

zbMATH Keywords

Hochschild cohomologyequivalence classesquiver algebraHochschild extensionresults of Brenner

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20)

Cites Work

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• Frobenius algebras. I: Basic representation theory.
• Extensions over hereditary Artinian rings with self-dualities. I
• The almost split sequence starting with a simple module
• Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner
• On the cohomology groups of an associative algebra
• The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

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