Stratified modules over an extension algebra

@article{Lukács2018,
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.},
author = {Lukács, Erzsébet, Magyar, András},
journal = {Czechoslovak Mathematical Journal},
keywords = {standardly stratified algebra; homological dual; standard Koszul algebra},
language = {eng},
number = {2},
pages = {523-551},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stratified modules over an extension algebra},
url = {http://eudml.org/doc/294317},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Lukács, Erzsébet
AU - Magyar, András
TI - Stratified modules over an extension algebra
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 2
SP - 523
EP - 551
AB - 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.
LA - eng
KW - standardly stratified algebra; homological dual; standard Koszul algebra
UR - http://eudml.org/doc/294317
ER -