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 …

We introduce the notions of Baer and quasi-Baer properties in a general module theoretic
setting. A module M is called (quasi-) Baer if the right annihilator of a (two-sided) left ideal of …

The concept of right Rickart rings (or right pp rings) has been extensively studied in the
literature. In this article, we study the notion of Rickart modules in the general module …

Rickart property for modules has been studied recently. In this article, we introduce and
study the notion of dual Rickart modules. A number of characterizations of dual Rickart …

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 …

Mason introduced the reflexive property for ideals, and then this concept was generalized by
Kim and Baik, defining idempotent reflexive right ideals and rings. In this article, we …

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 …

Throughout this paper R denotes an associative ring with unity. Recall from [Ka2) that R is a
Baer ring if the right annihilator of every nonempty subset of R is generated, as a right ideal …

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 …