INVESTIGADORES
CHAIO Claudia Alicia
artículos
Título:
A note in the radical of a module category
Autor/es:
CHAIO CLAUDIA, SHIPING LIU
Revista:
COMMUNICATIONS IN ALGEBRA
Editorial:
TAYLOR & FRANCIS INC
Referencias:
Lugar: Londres; Año: 2013 vol. 41 p. 4419 - 4424
ISSN:
0092-7872
Resumen:
We characterize the finiteness of the representation type of an artin algebra in terms of the behavior of the projective covers and the injective envelopes of the simple modules with respect to the infinite radical of the module category. In case the algebra is representation finite, we show that the nilpotency of the radical of the module category is the maximal depth of the composites of these maps, which is independent from the maximal length of the indecomposable modules.
