For a ring endomorphism α and an α-derivation δ, we introduce α-compatible rings which
are a generalization of α-rigid rings, and study on the relationship between the quasi …

In this paper we investigate the class of piecewise prime, PWP, rings which properly
includes all piecewise domains (hence all right hereditary rings which are semiprimary or …

In this paper we are interested in studying the properties of Armendariz, Baer, quasi-Baer,
pp and pq-Baer over skew PBW extensions. Using a notion of compatibility, we generalize …

The aim of this paper is to investigate a general notion of σ σ-PBW extensions over
Armendariz rings. As an application, the properties of Baer, quasi-Baer, pp, and pq-Baer are …

In this paper we investigate a notion of Armendariz ring for skew Poincaré-Birkhoff-Witt
extensions. We proceed with the study on the relationship between the ring theoretical …

In the present note, we continue the study of skew inverse Laurent series ring R ((x− 1; α, δ))
and skew inverse power series ring R [[x− 1; α, δ]], where R is a ring equipped with an …

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) …

A ring R is a left AIP-ring if the left annihilator of any ideal of R is pure as a left ideal.
Equivalently, R is a left AIP-ring if R modulo the left annihilator of any ideal is flat. This class …

In this paper, we consider a ring R and a monoid M equipped with a twisting map f: M× M->
U (R) and an action map ω: M-> Aut (R). The main objective of our study is to investigate the …

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 …