The grothendieck group of the category of modules of finite projective dimension over certain weakly triangular algebras

DOI10.1080/00927870008826901zbMath0958.16010OpenAlexW2076883938MaRDI QIDQ4947086

María Inés Platzeck, Eduardo do N. Marcos, Héctor A. Merklen

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008826901

zbMATH Keywords

finitely generated modulesprojective dimensionprojective modulesGrothendieck groupsalmost split sequencesArtin algebrasweakly triangular algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Grothendieck groups, (K)-theory, etc. (16E20) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (6)

Auslander's formula and correspondence for exact categories ⋮ MODULES OF FINITE PROJECTIVE DIMENSION FOR STANDARDLY STRATIFIED ALGEBRAS ⋮ Grothendieck groups in extriangulated categories ⋮ On the Relative Socle for Stratifying Systems ⋮ Exact structures and degeneration of Hall algebras ⋮ Relations for Grothendieck groups and representation-finiteness

Cites Work

• Almost split sequences in subcategories
• On the finitistic dimension conjecture for artinian rings
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• Grothendieck Groups and Exact Sequences for Hereditary Artin Algebras
• Homological Theory of Idempotent Ideals

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