On the finiteness of the global dimension for Artinian rings

DOI10.1006/jabr.2001.9130zbMath1028.16005OpenAlexW1969089945MaRDI QIDQ1614665

Sverre O. Smalø, Dan Zacharia, Andrzej Skowroński

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9130

zbMATH Keywords

projective dimensioninjective dimensionleft Artinian ringshomological dimensionindecomposable finitely generated modules

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (4)

The finiteness of the Gorenstein dimension for Artin algebras ⋮ On Semiprimary Rings of Finite Global Dimension, ⋮ Auslander–Reiten Theory for Finite-Dimensional Algebras ⋮ On Artin algebras with almost all indecomposable modules of projective or injective dimension at most one.

Cites Work

• Modules with decompositions that complement direct summands
• Tilting in abelian categories and quasitilted algebras
• Unnamed Item

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