Generating relations for Grothendieck groups of trivial extension algebras.

DOI10.1007/S10114-010-8186-4zbMath1306.16008OpenAlexW2157975296MaRDI QIDQ475779

Gui Yu Yang

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8186-4

zbMATH Keywords

Grothendieck groupsgenerators and relationsAuslander-Reiten sequencestrivial extensions

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Representations of quivers and partially ordered sets (16G20) Grothendieck groups and (K_0) (19A99) Grothendieck groups (category-theoretic aspects) (18F30)

Cites Work

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• Tame algebras and integral quadratic forms
• Extensions over hereditary Artinian rings with self-dualities. I
• Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian
• Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner
• Tilting functors and stable equivalences for selfinjective algebras
• Grothendieck Groups and Exact Sequences for Hereditary Artin Algebras
• Relations for Grothendieck Groups of Artin Algebras

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