Standardly stratified split and
lower triangular algebras
Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 303-311
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
In the first part, we study algebras $A$ such that
$A = R\amalg I$, 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 $A=\big[{U\atop M}\, {0\atop V}\big]$,
we show that $A$ is standardly stratified
if and only if the algebra $R = U \times V$ is standardly stratified
and $_VM$ is a good
$V $-module.
Keywords:
first part study algebras amalg where subalgebra two sided nilpotent ideal under certain conditions standardly stratified only standardly stratified atop atop standardly stratified only algebra times standardly stratified module
Affiliations des auteurs :
Eduardo do N. Marcos 1 ; Hector A. Merklen 2 ; Corina Sáenz 3
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author = {Eduardo do N. Marcos and Hector A. Merklen and Corina S\'aenz},
title = {Standardly stratified split and
lower triangular algebras},
journal = {Colloquium Mathematicum},
pages = {303--311},
publisher = {mathdoc},
volume = {93},
number = {2},
year = {2002},
doi = {10.4064/cm93-2-10},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm93-2-10/}
}
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Eduardo do N. Marcos; Hector A. Merklen; Corina Sáenz. Standardly stratified split and lower triangular algebras. Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 303-311. doi: 10.4064/cm93-2-10
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