A functor (mod-, Ab) is called strongly FP-injective if is isomorphic to some functor in (mod-, Ab) with an FP-injective left -module. A functor ((mod- Ab) is said to be strongly flat if is isomorphic to some functor in ((mod-, Ab) with a flat right -module. We study the properties of strongly FP-injective functors and explore the relationship between strongly FP-injective functors and strongly flat functors. Precovers and preenvelopes by strongly FP-injective and strongly flat functors are also investigated.
Cite this article
Lixin Mao, Strongly FP-injective and strongly flat functors. Rend. Sem. Mat. Univ. Padova 135 (2016), pp. 133–149DOI 10.4171/RSMUP/135-7