Stratifying systems via relative simple modules.

DOI10.1016/j.jalgebra.2004.06.018zbMath1073.16013OpenAlexW2150122482MaRDI QIDQ1763896

Eduardo do N. Marcos, Corina Sáenz, Octavio Mendoza

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.06.018

zbMATH Keywords

projective dimensionCartan matricesindecomposable modulesendomorphism algebrasbiserial algebrasstandardly stratified algebrasstratifying systemsrelatively simple modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (22)

Applications of stratifying systems to the finitistic dimension. ⋮ Homological systems in triangulated categories ⋮ Young modules and filtration multiplicities for Brauer algebras. ⋮ Tilting categories with applications to stratifying systems. ⋮ Stratifying systems over the hereditary path algebra with quiver \(\mathbb {A}_{p,q}\) ⋮ Quadratic forms associated to stratifying systems. ⋮ On Young modules of general linear groups. ⋮ The size of a stratifying system can be arbitrarily large ⋮ Morphisms and extensions between bricks over preprojective algebras of type A ⋮ Cokernels of the Cartan matrix and stratifying systems ⋮ An approach to the finitistic dimension conjecture. ⋮ Approximations of algebras by standardly stratified algebras. ⋮ On the Existence and Construction of Proper Costratifying Systems ⋮ On the Relative Socle for Stratifying Systems ⋮ STRATIFYING SYSTEMS, FILTRATION MULTIPLICITIES AND SYMMETRIC GROUPS ⋮ STRATIFYING SYSTEMS FOR EXACT CATEGORIES ⋮ Split-By-Nilpotent Extensions Algebras and Stratifying Systems ⋮ Stratifying systems and \(g\)-vectors ⋮ Stratifying systems through \(\tau\)-tilting theory ⋮ Extension Algebras of Standard Modules ⋮ Stratifying systems over hereditary algebras ⋮ A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS

Cites Work

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• 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 FOR STANDARDLY STRATIFIED ALGEBRAS
• On Standardly Stratified Algebras
• Standardly stratified algebras and cellular algebras
• Stratifying Systems via Relative Projective Modules

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