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 …

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 …

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 …

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 …

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 …

This paper is a continuation of a project to determine which skew polynomial algebras $ S=
R [\theta;\alpha] $ satisfy property $(\diamond) $, namely that the injective hull of every …

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 …

Let $\mathbb {k} $ be a field, and let $\Lambda $ be a (not necessarily finite dimensional)
$\mathbb {k} $-algebra. Let $ V $ be a left $\Lambda $-module such that is finite dimensional …

Let K be a field. A split basic finite-dimensional K-algebra with left quiver Γ is monomial if it
can be represented as the path algebra K Γ modulo an ideal generated by paths in Γ, and …