Standardly Stratified Extension Algebras

DOI10.1081/AGB-200060498zbMath1081.16019OpenAlexW2078198561WikidataQ105657301 ScholiaQ105657301MaRDI QIDQ5462858

Vlastimil Dlab, Erzsébet Lukács, István Ágoston

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-200060498

zbMATH Keywords

quasi-hereditary algebrasKoszul algebrasstandardly stratified algebrasYoneda extension algebrashomological duals

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of associative Artinian rings (16G10)

Related Items

KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS ⋮ Stratified modules over an extension algebra ⋮ Standard Koszul standardly stratified algebras ⋮ A generalized Koszul theory and its application ⋮ Cubist algebras. ⋮ A generalized Koszul theory and its relation to the classical theory. ⋮ Constructions of Stratified Algebras ⋮ Extension Algebras of Standard Modules ⋮ A GENERALIZATION OF THE THEORY OF STANDARDLY STRATIFIED ALGEBRAS I: STANDARDLY STRATIFIED RINGOIDS

Cites Work

• Categories of induced modules and standardly stratified algebras
• Category of \(\mathfrak g\) modules
• On a theorem of V. Dlab
• Quasi-hereditary extension algebras.
• PROPERLY STRATIFIED ALGEBRAS AND TILTING
• Homological Duality and Quasi-Heredity
• Properly stratified algebras

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