INVESTIGADORES
TREPODE Sonia Elisabet
artículos
Título:
On the left and right part of a module category
Autor/es:
IBRAHIM ASSEM; FLAVIO ULHOA COELHO; SONIA TREPODE
Revista:
JOURNAL OF ALGEBRA
Editorial:
Elsevier
Referencias:
Año: 2004 vol. 281 p. 518 - 534
ISSN:
0021-8693
Resumen:
In this paper, we study, for an artin algebra, the class LA (and RA) which is a full subcategory of the category modA of finitely generated A-modules, and which consists of all indecomposable A-modules whose predecessors (and successors) have projective dimension (and injective dimension, respectively) at most one. We consider quotient algebras of A, which contain the information on these classes, then define and characterize those algebras for which the class is LA is contravariantly finite (and RA is covariantly finite, respectively).In this paper, we study, for an artin algebra, the class LA (and RA) which is a full subcategory of the category modA of finitely generated A-modules, and which consists of all indecomposable A-modules whose predecessors (and successors) have projective dimension (and injective dimension, respectively) at most one. We consider quotient algebras of A, which contain the information on these classes, then define and characterize those algebras for which the class is LA is contravariantly finite (and RA is covariantly finite, respectively).
