σ-PBW extensions of skew Armendariz rings

A Reyes, H Suárez - Advances in Applied Clifford Algebras, 2017 - Springer
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 …

Armendariz modules over skew PBW extensions

A Reyes - Communications in Algebra, 2019 - Taylor & Francis
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 …

The McCoy condition on Ore extensions

M Habibi, A Moussavi, A Alhevaz - Communications in Algebra, 2013 - Taylor & Francis
Nielsen proved that all reversible rings are McCoy and gave an example of a
semicommutative ring that is not right McCoy. When R is a reversible ring with an (α, δ) …

On rings having McCoy-like conditions

A Alhevaz, A Moussavi, M Habibi - Communications in Algebra, 2012 - Taylor & Francis
In, Nielsen proves that all reversible rings are McCoy and gives an example of a
semicommutative ring that is not right McCoy. At the same time, he also shows that …

Skew polynomial extensions over zip rings

W Cortes - … Journal of Mathematics and Mathematical Sciences, 2008 - Wiley Online Library
Skew Polynomial Extensions over Zip Rings - Cortes - 2008 - International Journal of
Mathematics and Mathematical Sciences - Wiley Online Library Skip to Article Content Skip to …

Insertion-of-factors-property skewed by ring endomorphisms

NK Kim, TK Kwak, Y Lee - 2014 - projecteuclid.org
In this paper, we investigate the Insertion-of-Factors-Property (simply IFP),(quasi-) Baer
property, and Armendariz property on skew power series (polynomial) rings and introduce …

On skew power serieswise Armendariz rings

A Nasr-Isfahani, A Moussavi - Communications in Algebra, 2011 - Taylor & Francis
For a ring endomorphism α, we introduce and investigate SPA-rings which are a
generalization of α-rigid rings and determine the radicals of the skew polynomial rings R [x; …

Radicals of skew inverse Laurent series rings

A Alhevaz, D Kiani - Communications in Algebra, 2013 - Taylor & Francis
In this note, we continue to study zero-divisor properties of skew inverse Laurent series rings
R ((x− 1; σ, δ)), where R is an associative ring equipped with an automorphism σ and a σ …

On skew Hurwitz serieswise Armendariz rings

M Ahmadi, A Moussavi, V Nourozi - Asian-European Journal of …, 2014 - World Scientific
For a ring endomorphism α, we introduce and investigate skew Hurwitz serieswise
Armendariz (or SHA) rings which are a generalization of α-rigid rings and determine the …

Skew PBW Extensions

W Fajardo, C Gallego, O Lezama, A Reyes… - Skew PBW Extensions …, 2020 - Springer
Skew PBW Extensions Page 1 Chapter 1 Skew PBW Extensions In this first chapter we
introduce the skew PBW extensions and we present some examples of this new class of rings …