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Standardly stratified lower triangular K-algebras with enough idempotents

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Autor(es):
Marcos, E. ; Mendoza, O. ; Saenz, C. ; Santiago, V.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Journal of Pure and Applied Algebra; v. 227, n. 5, p. 23-pg., 2023-05-01.
Resumo

[ 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)

Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
Beneficiário:Vyacheslav Futorny
Modalidade de apoio: Auxílio à Pesquisa - Temático