It is well known that a ring R is right Kasch if each simple right R-module embeds in a
projective right R-module. In this paper we study the dual notion and call a ring R right dual …

It is well known that a ring R is right Kasch if each simple right R-module embeds in a
projective right R-module. In this paper we study the dual notion and call a ring R right dual …

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 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 …

Skew polynomial rings have invited attention of mathematicians and various properties of
these rings have been discussed. The nature of ideals (in particular prime ideals, minimal …

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 …

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 …

Several authors, in particular M. Chamarie (C31 and [43), E. Jespers, L. Le Bruyn, P.
Wauters ([8] and [9]) and H. Marubayashi ([lo]) have generalized the notion of a Krull domain …

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 …

For Λ a finite-dimensional k-algebra, ka field, we study the relations between the category of
all left Λ-modules, ModΛ, and the category of finitely generated Λ⊗ kk (x)= Λk (x)-modules …