Baer–Kaplansky Classes in Grothendieck Categories and Applications

S Crivei, D Keskin Tütüncü - Mediterranean Journal of Mathematics, 2019 - Springer
Abstract We study Baer–Kaplansky classes in Grothendieck categories. We apply our results
to functor categories, and discuss the transfer of the Baer–Kaplansky property to finitely …

Some precovers and preenvelopes in functor categories

Z Xie, Z Liu - Indian Journal of Pure and Applied Mathematics, 2021 - Springer
Let n≥ 1 be an integer. A functor F∈(mod-R, Ab) is called n-strongly FP-injective if F is
isomorphic to some functor-⊗ M in (mod-R, Ab) with M an FP n-injective left R-module. A …

Flat Weakly FP-Injective and FP-Injective Weakly Flat Functors

S Crivei - Results in Mathematics, 2017 - Springer
We introduce weakly FP-injective and weakly flat functors, and we show that a right R-
module K is FP-injective if and only if (−, K) is a flat weakly FP-injective functor in ((\rm mod …