MODULES OF FINITE PROJECTIVE DIMENSION FOR STANDARDLY STRATIFIED ALGEBRAS

DOI10.1081/AGB-100001660zbMath1002.16009MaRDI QIDQ2752340

Idun Reiten, María Inés Platzeck

Publication date: 22 October 2002

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

zbMATH Keywords

tilting modulesVerma modulescategories of modulesGrothendieck groupsalmost split sequencesstratified algebrasfinitistic projective dimension

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (19)

A construction of strong tilting modules ⋮ Applications of stratifying systems to the finitistic dimension. ⋮ On Good Filtration Dimensions for Standardly Stratified Algebras ⋮ Auslander's formula and correspondence for exact categories ⋮ Tilting categories with applications to stratifying systems. ⋮ Finitistic dimensions and good filtration dimensions of stratified algegras ⋮ On bounds of homological dimensions in Nakayama algebras ⋮ \(\mathcal C\)-filtered modules and proper costratifying systems. ⋮ Dlab's theorem and tilting modules for stratified algebras. ⋮ Standardly stratified algebras and tilting ⋮ On the Existence and Construction of Proper Costratifying Systems ⋮ On the Relative Socle for Stratifying Systems ⋮ Stratifying systems via relative simple modules. ⋮ On properly stratified Gorenstein algebras ⋮ Stratifying Systems via Relative Projective Modules ⋮ The Jordan-Hölder property and Grothendieck monoids of exact categories ⋮ Relations for Grothendieck groups and representation-finiteness ⋮ Stratifications of Finite Directed Categories and Generalized APR Tilting Modules ⋮ A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS

Cites Work

• Preprojective modules over Artin algebras
• Applications of contravariantly finite subcategories
• Approximating modules by modules of finite projective dimension
• Standardly stratified algebras and tilting
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• Modules of finite projective dimension and cocovers
• Homological Theory of Idempotent Ideals
• The grothendieck group of the category of modules of finite projective dimension over certain weakly triangular algebras

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