Applications of stratifying systems to the finitistic dimension.

DOI10.1016/J.JPAA.2005.07.009zbMath1105.16011OpenAlexW2157024415MaRDI QIDQ819802

Eduardo do N. Marcos, Corina Sáenz, Octavio Mendoza

Publication date: 29 March 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.07.009

zbMATH Keywords

projective dimensionnumbers of simple modulesfinitistic dimensionstandardly stratified algebrasstandard stratifying systems

Mathematics Subject Classification ID

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 (9)

Relative Igusa-Todorov functions and relative homological dimensions ⋮ Tilting categories with applications to stratifying systems. ⋮ Quadratic forms associated to stratifying systems. ⋮ Cokernels of the Cartan matrix and stratifying systems ⋮ An approach to the finitistic dimension conjecture. ⋮ Wide subcategories of finitely generated Λ-modules ⋮ Split-By-Nilpotent Extensions Algebras and Stratifying Systems ⋮ Stratifying systems and \(g\)-vectors ⋮ Stratifying systems through \(\tau\)-tilting theory

Cites Work

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• MODULES OF FINITE PROJECTIVE DIMENSION FOR STANDARDLY STRATIFIED ALGEBRAS
• On Standardly Stratified Algebras
• Finitistic dimension of standardly stratified algebras
• Standardly stratified algebras and cellular algebras
• The finitistic dimension conjectures -- a tale of 3.5 decades
• Stratifying Systems via Relative Projective Modules

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