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 different radicals (Wedderburn radical, lower nil
radical, Levitzky radical, upper nil radical, the set of all nilpotent elements, the sum of all nil …

In this paper, we introduce weak (Σ, Δ)-compatible rings and study skew Poincaré–Birkhoff–
Witt extensions over these rings. We characterize the weak notion of compatibility for several …

In this paper we study skew Poincaré–Birkhoff–Witt extensions over weak zip rings. Since
these extensions generalize Ore extensions of injective type and another noncommutative …

arXiv:1805.03489v1 [math.QA] 9 May 2018 Page 1 arXiv:1805.03489v1 [math.QA] 9 May 2018
PBW bases for some 3-dimensional skew polynomial algebras Armando Reyes∗ Universidad …

In this paper, we study the notion of McCoy ring over the class of non-commutative rings of
polynomial type known as skew Poincaré–Birkhoff–Witt extensions. As a consequence, we …

The objective of this paper is to investigate the ascending chain condition on principal left
(resp. right) ideals of noncommutative rings known as skew PBW extensions. We consider …

In this article, we continue the study of ideals of the noncommutative rings of polynomial type
known as skew Poincaré-Birkhoff-Witt extensions. More exactly, we focus on the associated …

In this paper, we characterize the minimal prime ideals of skew PBW extensions over
several classes of rings. We unify different results established in the literature for Ore …

In this paper, we investigate the Koszul behavior of finitely semi-graded algebras by the
distributivity of some associated lattice of ideals. The Hilbert series, the Poincaré series, and …