Stratified modules over an extension algebra.

Autor:	Lukács, Erzsébet
Další autoři:	Magyar, András
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles standardly stratified algebra homological dual standard Koszul algebra
Druh dokumentu:	Non-fiction
ISSN:	0011-4642
Abstrakt:	Abstract: Let $A$ be a standard Koszul standardly stratified algebra and $X$ an $A$-module. The paper investigates conditions which imply that the module ${\rm Ext}_A^*(X)$ over the Yoneda extension algebra $A^*$ is filtered by standard modules. In particular, we prove that the Yoneda extension algebra of $A$ is also standardly stratified. This is a generalization of similar results on quasi-hereditary and on graded standardly stratified algebras.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink