Algebras standardly stratified in all orders

Fidel Hernández Advíncula, and Eduardo do Nascimento Marcos. "Algebras standardly stratified in all orders." Colloquium Mathematicae 107.1 (2007): 81-87. <http://eudml.org/doc/284310>.

@article{FidelHernándezAdvíncula2007,
abstract = {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.},
author = {Fidel Hernández Advíncula, Eduardo do Nascimento Marcos},
journal = {Colloquium Mathematicae},
keywords = {standardly stratified algebras; partial orders; hereditary algebras; simple modules; idempotent ideals; projective dimension},
language = {eng},
number = {1},
pages = {81-87},
title = {Algebras standardly stratified in all orders},
url = {http://eudml.org/doc/284310},
volume = {107},
year = {2007},
}

TY - JOUR
AU - Fidel Hernández Advíncula
AU - Eduardo do Nascimento Marcos
TI - Algebras standardly stratified in all orders
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 1
SP - 81
EP - 87
AB - 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.
LA - eng
KW - standardly stratified algebras; partial orders; hereditary algebras; simple modules; idempotent ideals; projective dimension
UR - http://eudml.org/doc/284310
ER -