[PDF][PDF] A notion of compatibility for Armendariz and Baer properties over skew PBW extensions
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 …
pp and pq-Baer over skew PBW extensions. Using a notion of compatibility, we generalize …
A unified approach to various generalizations of Armendariz rings
G Marks, R Mazurek, M Ziembowski - Bulletin of the Australian …, 2010 - cambridge.org
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 skew generalized power series ring R [[S, ω]] is a common generalization of (skew) …
σ-PBW extensions of skew Armendariz rings
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 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 …
Universidad Industrial de Santander Vol. 33, No. 2, 2015, pág. 173–189 Skew PBW Extensions …
On weak symmetric rings
L Ouyang, H Chen - Communications in Algebra, 2010 - Taylor & Francis
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 …
weak (α, δ)-symmetric rings which are a generalization of symmetric rings, and investigate …
(Σ,∆)-Compatible skew PBW extension ring
E Hashemi, K Khalilnezhad… - Kyungpook Mathematical …, 2017 - koreascience.kr
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 …
rings have kept growing in importance, as researchers characterized their properties (such …
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 …
this aim, we recall the transfer of the property of being 2-primal for these extensions. As a …
[PDF][PDF] On nil-semicommutative rings
R Mohammadi, A Moussavi, M Zahiri - … Electronic Journal of Algebra, 2012 - dergipark.org.tr
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 …
therefore, nilpotent elements play an important role in this class of rings. There are many …
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 …
modules over skew PBW extensions. We generalize the results of several works in the …
Extensions of rings over 2-primal rings
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 …
derivations $\Delta:=\{\delta _1,\ldots,\delta _n\} $, we first introduce $\Sigma $-compatible …