Standardly stratified split and lower triangular algebras
Eduardo do N. Marcos, Hector A. Merklen, Corina Sáenz (2002)
Colloquium Mathematicae
Similarity:
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 , we show that A is standardly stratified if and only if the algebra R = U × V is standardly stratified and is a good V-module.