[PDF][PDF] A notion of compatibility for Armendariz and Baer properties over skew PBW extensions

A Reyes, H Suárez - Rev. Un. Mat. Argentina, 2018 - pdfs.semanticscholar.org
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 …

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 …

[PDF][PDF] Extensiones PBW torcidas de anillos de Baer, quasi-Baer, pp y pq-Baer

A Reyes - Integración: Temas de matemáticas, 2015 - dialnet.unirioja.es
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 …

A classification of ring elements in skew PBW extensions over compatible rings

M Hamıdızadeh, E Hashemı, A Reyes - … Electronic Journal of …, 2020 - dergipark.org.tr
For a skew PBW extension over a right duo compatible ring, we characterize several kinds of
their elements such as units, idempotent, von Neumann regular, $\pi $-regular and the clean …

Minimal prime ideals of skew PBW extensions over 2-primal compatible rings

M Louzari, A Reyes - Revista Colombiana de Matemáticas, 2020 - revistas.unal.edu.co
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 …

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 …

On weak annihilators and nilpotent associated primes of skew PBW extensions

S Higuera, A Reyes - Communications in Algebra, 2023 - Taylor & Francis
We investigate the notions of weak annihilator and nilpotent associated prime defined by
Ouyang and Birkenmeier (Weak annihilator over extension rings, 2012) in the setting of …

Ore extensions of skew Armendariz rings

AR Nasr-Isfahani, A Moussavi - Communications in Algebra®, 2008 - Taylor & Francis
Let α be an endomorphism and δ an α-derivation of a ring R. We introduce the notion of
skew-Armendariz rings which are a generalization of α-skew Armendariz rings and α-rigid …

Skew PBW extensions over symmetric rings

A Reyes, H Suárez - Algebra and Discrete Mathematics, 2021 - mathnet.ru
Skew PBW extensions over symmetric rings Page 1 © Algebra and Discrete Mathematics
RESEARCH ARTICLE Volume 32 (2021). Number 1, pp. 76ś102 DOI:10.12958/adm1767 Skew …

Baer and quasi-Baer properties of skew generalized power series rings

K Paykan, A Moussavi - Communications in Algebra, 2016 - Taylor & Francis
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 …