Tilting modules and the subcategories C_i^M

M.I. PLATZECK; N.I. PRATTI

COMMUNICATIONS IN ALGEBRA

Marcel Dekker, Inc.

Año: 2006 vol. 34 p. 3255 - 3266

0092-7872

In this paper we further study the full subcategories C M i of the category of finitely generated modules over an artin algebra introduced in [PP], consisting of the modules having an addM resolution of length i, which remains exact under the functor HomA (M, _). In particular, we characterize tilting modules in terms of these categories and determine when the transpose of a tilting module is a tilting module.