On the finitistic dimension conjecture. I: Related to representation-finite algebras.

DOI10.1016/j.jpaa.2004.03.009zbMath1067.16016OpenAlexW2150194480WikidataQ122860585 ScholiaQ122860585MaRDI QIDQ1877767

Changchang Xi

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.03.009

zbMATH Keywords

finite representation typeArtin algebrasfinitistic dimension conjecture

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (29)

Some new criteria for small Igusa-Todorov algebras ⋮ Relative Igusa-Todorov functions and relative homological dimensions ⋮ On the finitistic dimension conjecture. II: Related to finite global dimension ⋮ Finitistic dimension conjecture and radical-power extensions ⋮ Relative global dimensions of extensions ⋮ The extension dimension of abelian categories ⋮ Igusa–Todorov algebras over Morita rings ⋮ Ring constructions and generation of the unbounded derived module category ⋮ Graph representation of projective resolutions. ⋮ Igusa-Todorov and LIT algebras on Morita context algebras ⋮ Finitistic dimension conjecture and extensions of algebras ⋮ On the finitistic dimension conjecture. III: Related to the pair \(eAe\subseteq A\). ⋮ An approach to the finitistic dimension conjecture. ⋮ Syzygy properties under recollements of derived categories ⋮ On the finitistic dimension conjecture of Artin algebras. ⋮ A Graph Approach to a Splitting Theorem ⋮ Adjoint functors and representation dimensions ⋮ On stable equivalences induced by exact functors ⋮ Idealized Extensions of Artin Algebras and Finitistic Dimensions ⋮ Reduction techniques for the finitistic dimension ⋮ FINITISTIC DIMENSIONS OF TRIVIALLY TWISTED EXTENSIONS OF MONOMIAL ALGEBRAS ⋮ Finitistic Dimensions of Dual Extensions of Monomial Algebras^# ⋮ Generalized Auslander-Reiten Conjecture and Derived Equivalences ⋮ Homological dimensions of the extension algebras of monomial algebras. ⋮ THE FINITISTIC DIMENSION AND CHAIN CONDITIONS ON IDEALS ⋮ On Lat-Igusa-Todorov algebras ⋮ The \(\phi\)-dimension: a new homological measure. ⋮ Derived Equivalences Between Subrings ⋮ A Note on Finitistic Dimension of Hopf-Galois Extensions

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