The aim of this work is to characterize the algebras which are standardly stratified with respect to any order of the simple modules. We show that such algebras are exactly the algebras with all idempotent ideals projective. We also deduce as a corollary a characterization of hereditary algebras, originally due to Dlab and Ringel.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-1-8,
author = {Fidel Hern\'andez Adv\'\i ncula and Eduardo do Nascimento Marcos},
title = {Algebras standardly stratified in all orders},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {81-87},
zbl = {1113.16017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-1-8}
}
Fidel Hernández Advíncula; Eduardo do Nascimento Marcos. Algebras standardly stratified in all orders. Colloquium Mathematicae, Tome 107 (2007) pp. 81-87. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-1-8/