Stratifying Systems via Relative Projective Modules

DOI10.1081/AGB-200061045zbMath1096.16004OpenAlexW2006641093WikidataQ121464067 ScholiaQ121464067MaRDI QIDQ5462871

Octavio Mendoza, Corina Sáenz, Eduardo do N. Marcos

Publication date: 27 July 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200061045

zbMATH Keywords

categories of modulesquasi-hereditary algebrasstandard modulesAbelian categoriesstandardly stratified algebrasstratifying systemsstandard filtrations

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10)

Related Items

Applications of stratifying systems to the finitistic dimension. ⋮ Homological systems in triangulated categories ⋮ 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. ⋮ The size of a stratifying system can be arbitrarily large ⋮ \(\mathcal C\)-filtered modules and proper costratifying systems. ⋮ Cokernels of the Cartan matrix and stratifying systems ⋮ An approach to the finitistic dimension conjecture. ⋮ Approximations of algebras by standardly stratified algebras. ⋮ On the Relative Socle for Stratifying Systems ⋮ Stratifying systems via relative simple modules. ⋮ 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

• 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

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