On the Relation Between Finitistic and Good Filtration Dimensions

DOI10.1081/AGB-120029912zbMath1075.16005OpenAlexW2061385153MaRDI QIDQ3155523

Alison E. Parker, Volodymyr Mazorchuk

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120029912

zbMATH Keywords

quasi-hereditary algebrasfinitistic dimensionproperly stratified algebrasstandardly stratified algebrasgood filtration dimension

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10)

Related Items (10)

Finitistic dimension of properly stratified algebras. ⋮ On the global and \(\nabla\)-filtration dimensions of quasi-hereditary algebras. ⋮ Semi-Infinite Highest Weight Categories ⋮ Cokernels of the Cartan matrix and stratifying systems ⋮ Dlab's theorem and tilting modules for stratified algebras. ⋮ Parabolic category O for classical Lie superalgebras ⋮ Finitistic dimension and tilting modules for stratified algebras. ⋮ On properly stratified Gorenstein algebras ⋮ STRATIFYING SYSTEMS FOR EXACT CATEGORIES ⋮ A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS

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