Standardly stratified split and lower triangular algebras

Eduardo do N. Marcos, Hector A. Merklen, and Corina Sáenz. "Standardly stratified split and lower triangular algebras." Colloquium Mathematicae 93.2 (2002): 303-311. <http://eudml.org/doc/284597>.

@article{EduardodoN2002,
abstract = {In the first part, we study algebras A such that A = R ⨿ I, where R is a subalgebra and I a two-sided nilpotent ideal. Under certain conditions on I, we show that A is standardly stratified if and only if R is standardly stratified. Next, for $A = \begin\{bmatrix\} U & 0 \\ M & V\end\{bmatrix\}$, we show that A is standardly stratified if and only if the algebra R = U × V is standardly stratified and $_\{V\}M$ is a good V-module.},
author = {Eduardo do N. Marcos, Hector A. Merklen, Corina Sáenz},
journal = {Colloquium Mathematicae},
keywords = {split algebras; standardly stratified algebras; good modules; lower triangular matrix algebras},
language = {eng},
number = {2},
pages = {303-311},
title = {Standardly stratified split and lower triangular algebras},
url = {http://eudml.org/doc/284597},
volume = {93},
year = {2002},
}

TY - JOUR
AU - Eduardo do N. Marcos
AU - Hector A. Merklen
AU - Corina Sáenz
TI - Standardly stratified split and lower triangular algebras
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 2
SP - 303
EP - 311
AB - In the first part, we study algebras A such that A = R ⨿ I, where R is a subalgebra and I a two-sided nilpotent ideal. Under certain conditions on I, we show that A is standardly stratified if and only if R is standardly stratified. Next, for $A = \begin{bmatrix} U & 0 \\ M & V\end{bmatrix}$, we show that A is standardly stratified if and only if the algebra R = U × V is standardly stratified and $_{V}M$ is a good V-module.
LA - eng
KW - split algebras; standardly stratified algebras; good modules; lower triangular matrix algebras
UR - http://eudml.org/doc/284597
ER -