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) …

The study of direct sums and direct products of R-modules is usually related to the question
of transfer of a property" P" on R-modules: When do direct sums or direct products of R …

Keskin and Harmanci defined the family B (M, X)= ${A {\leq} M|{\exists} Y {\leq} X,{\exists} f
{\in} Hom_R (M, X/Y),\; Ker\; f/A {\ll} M/A} $. And Orhan and Keskin generalized projective …

Let R be a ring with Jacobson radical J (R). Given a left R-module M, a supplement
submodule of M is a submodule K≤ M for which there exists K≤ M such M= K+ K and K is …

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 …

Let R be a quotient ring of a commutative coherent regular ring by a finitely generated ideal.
Hovey gave a bijection between the set of coherent subcategories of the category of finitely …

We have defined aconcept of almost M-projectives and almost M-injectives in [4] and [9],
respectively. In the first section of this paper we give some relations among lifting modules …

The notions of category and functor lead naturally to the following question-Given a ring A
and the category of all left A-modules, is it possible to characterize all rings B such that the …

The following conditions are shown to be equivalent: 1) ring A is generalized uniserial (not
necessarily artinian); 2) every finitely presented A module is semiserial; 3) A is semiperfect …