We carry out a study of modules MR satisfying the property that every module in σ [M] is a
Kasch module. Such modules are called fully Kasch. Several sufficient conditions for a …

An associative ring R is a left Kasch ring if it contains a copy of every simple left R-module.
Transferring this notion to modules we call a left R-module M a Kasch module if it contains a …

Let R be a ring. In this note we study some properties of principally quasi-injective strongly
Kasch R-modules and show that if MR is a principally quasi-injective strongly Kasch module …

Let A and R be two rings with a non zero identity. Denote by 5lA the full subcategory of Mod-
A consisting of all submodules of the finitely generated modules in Mod-A and by Rsl the …

Let R be a ring. In this note we study some properties of finitely generated quasi p-injective
Kasch R− modules and show that if MR is a finitely generated quasi p-injective Kasch …

Let R be a ring. A right R-module M is called p-injective if every homomorphism from a
principal right ideal of R to M can be given by a left multiplication. A ring R is called a right …

A ring R is called left k-cyclic if every left R-module is a direct sum of indecomposable
modules which are homomorphic image of R k R. In this paper, we give a characterization of …

We are interested in studying when the class of local modules is Baer–Kaplansky. We
provide an example showing that even over a commutative semisimple ring R, we can find …

The <Emphasis Type="Italic">KK</Emphasis>-Product of Unbounded Modlues Page 1 K-Theory
11: 17–34, 1997. 17 c 1997 Kluwer Academic Publishers. Printed in the Netherlands. The …

Let R be a ring. For two fixed positive integers m and n, an R-module M is called (m, n)-quasi-
injective if each R-homomorphism from an n-generated submodule of Mm to M extends to …