In this paper we give necessary and sufficient conditions for an additive functor u: u→ C,
from a small pre-additive category u to a Grothendieck category C, to realize C as a …

We study the transfer of Baer-Kaplansky classes via additive functors between preadditive
categories. We show that the Baer-Kaplansky property is well behaved with respect to fully …

On derived functors on categories without enough injectives - ScienceDirect Skip to main
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For a category, we investigate the problem of when the coproduct⊕ and the product
functor∏ from I to are isomorphic for a fixed set I, or, equivalently, when the two functors …

Using the exact completion of a weakly left exact category, we specialize previous results on
monadic categories over øSøEøI to obtain a characterization of localizations of finitary …

This paper consists of three results on Frobenius categories:(1) we give sufficient conditions
on when a factor category of a Frobenius category is still a Frobenius category;(2) we show …

The general theory of Grothendieck categories is presented. The Popescu-Gabriel
generalized theorem and theorems for projective generating families are proved. Due to …

For this purpose we first consider the case where B is right complete and has a small dense
([2.5] 1.3) subcategory B. Let I: B-+ B denote the inclusion. Then by [25] 1.15 B is a left retract …

Watts's Theorem says that a right exact functor that commutes with direct sums is isomorphic
to−⊗ RB, where B is the RS-bimodule FR. The main result in this article is the following one …

Adjoint functor theorems give necessary and sufficient conditions for a functor to admit an
adjoint. In this paper, we prove general adjoint functor theorems for functors between∞ …