By a well known theorem of K. Morita, any equivalence between full module categories over
rings R and S, are given by a bimodule RPS, such that RP is a finitely generated projective …

Let R be an associative ring with identity. A right R-module M is called cotorsion if Ext"(F,
M)= 0 for every flat right R-module F. These modules were introduced by Harrison [21] in the …

We show that a weak-injective module over an integral domain need not be pure-injective
(Theorem 2.3). Equivalently, a torsion-free Enochs-cotorsion module over an integral …

1. In this paper, the structure theorems of I~ AGAO and l~ AXAYAMA [4] for projective and
injective modules over certain rings are derived by methods different from those used in [4] …

The aim of this paper is to introduce the notion of nearly prime submodules as a
generalization of prime submodules. We investigate some of their basic properties and point …

The subject of this article are the modules M over a ring R such that every element of M is
contained in a pure-injective direct summand of M. For obvious reasons we call these …

Abstract In [5] and [6], we have introduced a couple of relative generalized epi-projectivities
and given several properties of these projectivities. In this paper, we consider relative …

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules
Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E, R) …

MIXED INJECTIVE MODULES Page 1 Glasgow Math. J. 52A (2010) 111–120. C Glasgow
Mathematical Journal Trust 2010. doi:10.1017/S0017089510000182. MIXED INJECTIVE …

We relate the theory of envelopes and covers to tilting and cotilting theory, for (infinitely
generated) modules over arbitrary rings. Our main result characterizes tilting torsion classes …