Approximations and the little finitistic dimension of Artinian rings

DOI10.1006/JABR.2001.8951zbMath1005.16008OpenAlexW1997011874WikidataQ57571275 ScholiaQ57571275MaRDI QIDQ5956267

Jan Trlifaj

Publication date: 13 February 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8951

zbMATH Keywords

projective dimensionprecoverssimple right modulesArtin algebrasright Artinian ringscomplete cotorsion theoriesfinitely generated right moduleslittle finitistic dimension

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (6)

A model structure approach to the finitistic dimension conjectures ⋮ Endomorphism algebras of Gorenstein projective modules ⋮ Infinitely generated Gorenstein tilting modules ⋮ Finitistic dimension conjectures via Gorenstein projective dimension ⋮ All tilting modules are of countable type ⋮ Tilting theory and the finitistic dimension conjectures

Cites Work

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• Homological domino effects and the first finitistic dimension conjecture
• Covers induced by Ext
• Applications of contravariantly finite subcategories
• Relative homological algebra
• How To Make Ext Vanish
• Finite Projectivity and Contravariant Finiteness
• Cotorsion theories and splitters
• The finitistic dimension conjectures -- a tale of 3.5 decades

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