Geodesic
Standardly stratified split and lower triangular algebras
Eduardo do N. Marcos1 ; Hector A. Merklen2 ; Corina Sáenz3
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.

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.
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 
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 lower triangular algebras},
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 lower triangular algebras
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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. http://geodesic.mathdoc.fr/articles/10.4064/cm93-2-10/

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