We prove that, for any n≥ 2, the classes of FP n-injective modules and of FP n-flat modules
are both covering and preenveloping over any ring R. This includes the case of FP∞ …

Given a ring R, the categories of covariant additive functors (mod-R, Ab) and contravariant
additive functors ((mod-R) op, Ab) from the category mod-R of finitely presented right R …

Factorization of Graded Modules of Fractions Page 1 International Mathematical Forum, Vol.
11, 2016, no. 22, 1067 - 1088 HIKARI Ltd, www.m-hikari.com https://doi.org/10.12988/imf.2016.67100 …

The concept of a T-discrete object is a generalization of the notion of discrete spaces in
concrete categories. In this paper. T-discrete objects are used to define discrete functors …

Given a compactly generated triangulated category and a generating set ℛ of compact
objects, the class of ℛ-injective objects is introduced. If is compact and ℛ={ΣnX} n∈ ℤ it is …

For a ring S, let K 0 (FGFl (S)) and K 0 (FGPr (S)) denote the Grothendieck groups of the
category of all finitely generated flat S-modules and the category of all finitely generated …

Let $ R $ be a ring graded by a group $ G $ and $ n\geq1 $ an integer. We introduce the
notion of $ n $-FCP-gr-projective $ R $-modules and by using of special finitely copresented …

We establish relations between Gorenstein projective precovers linked by Frobenius
functors. This is motivated by an open problem that how to find general classes of rings for …

We study C-covers in the context of Grothendieck categories. Namely, we analyse when a
functor between two Grothendieck categories preserves or reflects C-covers. We apply our …

Co-∗n-tuple of Contravariant Functors Abstract 1 Introduction Page 1 British Journal of
Mathematics & Computer Science 4(12): 1701-1709, 2014 SCIENCEDOMAIN international …