Some Homological Properties of Skew PBW Extensions

O Lezama, A Reyes - Communications in Algebra, 2014 - Taylor & Francis
We prove that if R is a left Noetherian and left regular ring then the same is true for any
bijective skew PBW extension A of R. From this we get Serre's Theorem for such extensions …

Recent progress in an algebraic analysis approach to linear systems

D Robertz - Multidimensional Systems and Signal Processing, 2015 - Springer
This paper addresses systems of linear functional equations from an algebraic point of view.
We give an introduction to and an overview of recent work by a small group of people …

[图书][B] Formal algorithmic elimination for PDEs

D Robertz - 2014 - books.google.com
Investigating the correspondence between systems of partial differential equations and their
analytic solutions using a formal approach, this monograph presents algorithms to …

Prime ideals of skew PBW extensions

O Lezama, JP Acosta, MAR Villamil - arXiv preprint arXiv:1402.2321, 2014 - arxiv.org
In this paper we describe the prime ideals of some important classes of skew PBW
extensions, using the classical technique of extending and contracting ideals. Skew PBW …

[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 …

Radicals and Köthe's conjecture for skew PBW extensions

A Reyes, H Suárez - Communications in Mathematics and Statistics, 2021 - Springer
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 …

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 …

Derivations of skew PBW-extensions

VA Artamonov - Communications in Mathematics and Statistics, 2015 - Springer
Derivations of Skew PBW-Extensions | Communications in Mathematics and Statistics Skip to
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Non-commutative algebraic geometry of semi-graded rings

O Lezama, E Latorre - International Journal of Algebra and …, 2017 - World Scientific
In this paper, we introduce the semi-graded rings, which extend graded rings and skew
Poincaré–Birkhoff–Witt (PBW) extensions. For this new type of non-commutative rings, we …

[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 …