Finitistic dimension of standardly stratified algebras

DOI10.1080/00927870008826990zbMath0964.16005OpenAlexW1991046384MaRDI QIDQ4487352

Erzsébet Lukács, István Ágoston, Luise Unger, Dieter Happel

Publication date: 17 April 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826990

zbMATH Keywords

quasi-hereditary algebrasnumbers of simple modulesstandardly stratified algebrasfinitistic dimensions

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Homological dimension in associative algebras (16E10)

Related Items (20)

Applications of stratifying systems to the finitistic dimension. ⋮ On the Relation Between Finitistic and Good Filtration Dimensions ⋮ Finitistic dimension of properly stratified algebras. ⋮ Finitistic dimensions and good filtration dimensions of stratified algegras ⋮ Stratified modules over an extension algebra ⋮ On bounds of homological dimensions in Nakayama algebras ⋮ TYPICAL BLOCKS OF THE CATEGORY $\mathcal{O}$ FOR THE QUEER LIE SUPERALGEBRA ⋮ Generalized Igusa-Todorov function and finitistic dimensions. ⋮ Projective-injective modules, Serre functors and symmetric algebras ⋮ An approach to the finitistic dimension conjecture. ⋮ Dlab's theorem and tilting modules for stratified algebras. ⋮ Standardly stratified algebras and tilting ⋮ The Finitistic Dimension of Algebras with a Directed Stratification ⋮ Some homological conjectures for quasi-stratified algebras. ⋮ Homological dimensions and strongly idempotent ideals. ⋮ Idealized Extensions of Artin Algebras and Finitistic Dimensions ⋮ Idempotent reduction for the finitistic dimension conjecture ⋮ Constructions of Stratified Algebras ⋮ Strictly Stratified Algebras Revisited ⋮ A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS

Cites Work

• Homological Theory of Idempotent Ideals
• A generalization of quasi-hereditary rings

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