Cokernels of the Cartan matrix and stratifying systems

DOI10.1080/00927872.2018.1550786zbMath1470.16028arXiv1804.01168OpenAlexW2963473396MaRDI QIDQ5384636

Octavio Mendoza, Corina Sáenz, Eduardo do N. Marcos

Publication date: 24 June 2019

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

Full work available at URL: https://arxiv.org/abs/1804.01168

zbMATH Keywords

Cartan matrixabelian groupsstandardly stratified algebrasradical square zero algebras

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological algebra in category theory, derived categories and functors (18G99)

Related Items (1)

Stratifying systems and \(g\)-vectors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Categories of induced modules and standardly stratified algebras
• On the Cartan matrix of an Artin algebra of global dimension two
• Applications of stratifying systems to the finitistic dimension.
• Quadratic forms associated to stratifying systems.
• The Cartan map on categories of graded modules
• Stratifying systems via relative simple modules.
• Finitistic dimension of properly stratified algebras.
• Derived equivalence classification of the cluster-tilted algebras of Dynkin type \(E\).
• Standardly stratified algebras and tilting
• Standard stratifications of EI categories and Alperin's weight conjecture.
• Dlab's theorem and tilting modules for stratified algebras.
• Homological systems in triangulated categories
• On the Relation Between Finitistic and Good Filtration Dimensions
• KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS
• PROPERLY STRATIFIED ALGEBRAS AND TILTING
• HOMOLOGICAL SYSTEMS IN MODULE CATEGORIES OVER PRE-ORDERED SETS
• On Standardly Stratified Algebras
• Standardly stratified split and lower triangular algebras
• Standardly stratified algebras and cellular algebras
• Wide subcategories of finitely generated Λ-modules
• Stratifying Systems via Relative Projective Modules

This page was built for publication: Cokernels of the Cartan matrix and stratifying systems