Geodesic
Standardly stratified split and lower triangular algebras
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
Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 303-311 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/cm93-2-10
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

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
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm93-2-10/
DO  - 10.4064/cm93-2-10
LA  - en
ID  - 10_4064_cm93_2_10
ER  - 
%0 Journal Article
%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
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm93-2-10/
%R 10.4064/cm93-2-10
%G en
%F 10_4064_cm93_2_10
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

Cité par Sources :