The restricted injective envelopes with respect to various types of preradicals have been
studied by many authors (see eg [2],[6],[8],[10]). In the second paragraph we shall dualize …

An additive functor from the category of flat right R‐modules to the category of abelian
groups is continuous if it is isomorphic to a functor of the form−⊗ RM, where M is a left R …

Let R be a ring with unit& (R) the corresponding category of left R-modules. An idempotent
kernel functor o or-M (R) is said to be symmetric if the defining filter T (o) has a basis …

Throughout all rings R are associative wit, h identity, and all modules are unitary right R-
modules. Mod-R will denote the category of unitary right R-modulcs. A classical result in ring …

1. Introduction and preliminaries. This paper deals with a generalization of the concept of
torsion Abelian groups. Our purpose is twofold. On the one hand, we treat the concept of …

Let $ R $ be an algebra over a field $ k $, and $ P, Q $ be two nonzero finitely generated
projective $ R $-modules. By adjoining further generators and relations to $ R $, one can …

This note is in a broad sense a continuation of [7]. If R is a ring (with identity) and its singular
ideal is zero then by results of Johnson and Wong any (left) injective hull h (R) of R admits a …

It is known that if R is a ring with identity, and S and A op are the functor rings associated to
the categories Mod (R) and Mod (R op), respectively, then there is a duality between the …

For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …

We show that a direct limit of projective contramodules (over a right linear topological ring) is
projective if it has a projective cover. A similar result is obtained for-strictly flat contramodules …