… PBW extensions have been studied by the authors and others (see [11,32,33,41,44– 50,54], …
of skew Armendariz ring for σ-PBW extensions which generalize the case of Ore extensions …

… In this section, we introduce the notion of skew-Armendariz module for σ-PBW extensions.
As we said above, our treatment generalize [Citation27,Citation54], and [Citation2]. …

… Our aim in this paper is to study skew PBW extensions of Baer, quasi-Baer, principally … and
A be rings. We say that A is a skew PBW extension of R (also called a σ-PBW extension) if the …

… Let R and A be rings. We say that A is a skew PBW extension of R (also called a σ-PBW
extension of R), which is denoted by A := σ(R)〈x1,...,xn〉, if the following conditions hold: (i) R is …

… defined for Ore extensions and skew PBW extensions, respectively. We also present the
notion of weak Σ-skew Armendariz ring which extends that of α-skew Armendariz ring. In this …

… [Citation25, Definition 1] Let R and A be rings. We say that A is a skew PBW extension (also
known as σ-PBW extension) over R, which is denoted by A : = σ ( R ) < x 1 , … , x n > , if the …

… PBW extensions. With this aim, we introduce the notions of Σ-skew CN rings and Σskew
reflexive (RNP) rings, for Σ a finite family of ring endomorphisms of a ring …

… general noncommutative rings than (iterated) Ore extensions, in … of rings known as skew
Poincaré-Birkhoff-Witt extensions … is a skew PBW extension (also known as σ-PBW extension) …

… homogenization of aσ-filtered skew PBW extension A over a ring R is a graded skew PBW …
be rings. We say that A is a skew PBW extension over R (also called a σ-PBW extension over …

… Our aim in this paper is to study skew PBW extensions of Baer, quasi-Baer, principally … R
and A be rings. We say that A is a skew PBW extension of R (also called a σ - PBW extension ) if …