1Departamento de Matemática Universidade de São Paulo Caixa Postal 66.281 São Paulo–SP, 05315-970, Brasil 2Departamento de Matemática Universidade de São Paulo, Caixa Postal 66.281 São Paulo–SP, 05315-970, Brasil 3Departamento de Matemáticas Facultad de Ciencias Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria C.P. 04510, México, D.F., Mexico
Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 303-311
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
1
Departamento de Matemática Universidade de São Paulo Caixa Postal 66.281 São Paulo–SP, 05315-970, Brasil
2
Departamento de Matemática Universidade de São Paulo, Caixa Postal 66.281 São Paulo–SP, 05315-970, Brasil
3
Departamento de Matemáticas Facultad de Ciencias Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria C.P. 04510, México, D.F., Mexico
@article{10_4064_cm93_2_10,
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},
year = {2002},
volume = {93},
number = {2},
doi = {10.4064/cm93-2-10},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm93-2-10/}
}
TY - JOUR
AU - Eduardo do N. Marcos
AU - Hector A. Merklen
AU - Corina Sáenz
TI - Standardly stratified split and
lower triangular algebras
JO - Colloquium Mathematicum
PY - 2002
SP - 303
EP - 311
VL - 93
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%A Eduardo do N. Marcos
%A Hector A. Merklen
%A Corina Sáenz
%T Standardly stratified split and
lower triangular algebras
%J Colloquium Mathematicum
%D 2002
%P 303-311
%V 93
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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
