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 …

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) …

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 …

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 …

For a ring endomorphism α and an α-derivation δ, we introduce weak symmetric rings and
weak (α, δ)-symmetric rings which are a generalization of symmetric rings, and investigate …

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 …

In this paper, we characterize the units of skew PBW extensions over compatible rings. With
this aim, we recall the transfer of the property of being 2-primal for these extensions. As a …

Semicommutative and Armendariz rings are a generalization of reduced rings, and
therefore, nilpotent elements play an important role in this class of rings. There are many …

The aim of this article is to develop the theory of skew Armendariz and quasi-Armendariz
modules over skew PBW extensions. We generalize the results of several works in the …

Abstract‎ For a set of endomorphisms $\Sigma‎:‎=\{\sigma _1,\ldots‎,‎\sigma _n\} $ and
derivations $\Delta‎:‎=\{\delta _1,\ldots‎,‎\delta _n\} $‎,‎ we first introduce $\Sigma $-compatible …