查看文章

In this paper we study the lower triangular matrix K-algebra Λ:=[T 0 M U], where U and T are basic K-algebras with enough idempotents and M is an U-T-bimodule where K acts centrally. Moreover, we characterise in terms of U, T and M when, on one hand, the lower triangular matrix K-algebra Λ is standardly stratified in the sense of [15]; and on the other hand, when Λ is locally bounded in the sense of Gabriel [10]. Finally, we also study several properties relating the projective dimensions in the categories of finitely generated modules mod (U), mod (T) and mod (Λ).