| Full text | |
| Author(s): |
Marcos, E.
;
Mendoza, O.
;
Saenz, C.
;
Santiago, V.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 227, n. 5, p. 23-pg., 2023-05-01. |
| Abstract | |
[ T 0 J In this paper we study the lower triangular matrix K-algebra & ULambda; := , where M U 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 & ULambda; is standardly stratified in the sense of [15]; and on the other hand, when & ULambda; 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(& ULambda;).(c) 2022 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |