TTF Triples in Functor Categories

We characterize the hereditary torsion pairs of finite type in the functor category of a ring R associated to tilting torsion pairs in the category of R-modules. Moreover, we determine a conditions under which they give rise to TTF triples.

• Type: Journal
• Year: 2010
• Where: ACS
• Authors: Lidia Angeleri Hügel, Silvana Bazzoni
• Keywords: ACS 2010, Distributed And Parallel Computing, Functor Category, Hereditary Torsion Pairs, Torsion Pairs