Covers of Modules over a Fixed Ring

Abstract

In this note, we find conditions under which it is possible to prove the existence of relative injective covers of any module over the fixed ring R G by means of relative injective covers of modules over the base ring R. The same problem is treated for flat covers. ᮊ

On Covers and Envelopes under Hom and Tensor Functors

“…In [11][12][13], García Rozas and Torrecillas investigated when a covariant functor F preserves (resp. reflects) (pre)covers, i.e., if…”