Standardly stratified split and lower triangular algebras

• Autorzy: Eduardo do N. Marcos , Hector A. Merklen , Corina Sáenz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16E10: Homological dimension
• 16G20: Representations of quivers and partially ordered sets
• 18G20: Homological dimension

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 2
• Strony: 303-311

Daty

wydano

2002

Twórcy

autor

Eduardo do N. Marcos

• Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66.281, São Paulo-SP, 05315-970, Brasil

autor

Hector A. Merklen

• Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66.281, São Paulo-SP, 05315-970, Brasil

autor

Corina Sáenz

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, C.P. 04510, México, D.F., Mexico

Identyfikatory

DOI

10.4064/cm93-2-10