We introduce and study a nontrivial generalization of uniserial modules and rings. A module
is called weakly uniserial if its submodules are comparable regarding embedding. Also, a …

Let R be a ring, M a monoid and ω: M→ End (R) a monoid homomorphism. The skew
monoid ring R* M is a common generalization of polynomial rings, skew polynomial …

In this paper, we study σ-skew McCoy rings under the σ-compatible or the σ-semicompatible
conditions. We show that if R is a semicommutative right or left artinian ring which is σ …

Let k be an algebraically closed field. We will consider finite dimensional basic k-algebras A
and we want to describe the derived category of bounded complexes over mod A, the …

In this dissertation, we study the McCoy properties. The first part of this dissertation concerns
the effect on the condition of σ‐compatibility or σ‐semicompatibility to skew McCoy rings. We …

Carl Faith (2003) introduced and investigated an interesting class of rings over which every
cyclic right module has Σ-injective injective hull (abbr., right CSI-rings). Inspired by this we …

Let R be a ring, S a strictly ordered monoid and ω: S→ End (R) a monoid homomorphism.
The skew generalized power series ring R [[S, ω]] is a common generalization of skew …

Let us call a ring R (without identity) to be right symmetric if for any triple a, b, c,∈ R abc= 0
then acb= 0. Such rings are neither symmetric nor reversible (in general) but are …

For a given right R-module M, a right R-module N is called pseudo-M-pinjective if every
monomorphism from an M-cyclic submodule X of M to N can be extended to a …

In this paper, we study rings with the property that every cyclic module is almost-injective
(CAI). It is shown that R is an Artinian serial ring with J (R)^ 2= 0 J (R) 2= 0 if and only if R is …