Since the discovery of the existence of the injective hull of an arbitrary module
independently in 1952 by Shoda and in 1953 by Eckmann and Schopf, there have been …

Integracion Vol.33 N.2 2015.indd Page 1 ∮ Revista Integración Escuela de Matemáticas
Universidad Industrial de Santander Vol. 33, No. 2, 2015, pág. 173–189 Skew PBW Extensions …

Ever since their introduction, skew PBW ($ Poincar {\acute {e}} $-Birkhoff-Witt) extensions of
rings have kept growing in importance, as researchers characterized their properties (such …

Let R be a ring with a monomorphism α and an α-derivation δ. We introduce (α, δ)-weakly
rigid rings which are a generalisation of α-rigid rings and investigate their properties. Every …

A ring $ R $ with an automorphism $\sigma $ and a $\sigma $-derivation $\delta $ is called
$\delta $-quasi-Baer (resp., $\sigma $-invariant quasi-Baer) if the right annihilator of every …

The aim of our paper is to study the primitivity of the skew inverse Laurent series rings R ((x−
1; α, δ)) and the skew Laurent power series rings R [[x, x− 1; α]], where R is an associative …

For a ring derivation δ, we introduce and investigate a generalization of reduced rings and
Armendariz rings which we call a δ-Armendariz ring. Various classes of δ-Armendariz rings …

A ring R is called right\(\mathfrak {cP}\)-Baer if the right annihilator of a cyclic projective right
R-module in R is generated by an idempotent. These rings are a generalization of the right …

A ring R with an automorphism α and an α-derivation δ is called (α, δ)-quasi-Baer (resp.,
quasi-Baer) if the right annihilator of every (α, δ)-ideal (resp. ideal) of R is generated by an …

Let $ alpha $ be an endomorphism and $ delta $ an $ alpha $-derivationof a ring $ R $. In
this paper we study the relationship between an $ R $-module $ M_R $ and the general …