Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions
A Niño, A Reyes - Algebra and Discrete Mathematics, 2021 - admjournal.luguniv.edu.ua
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 …
several classes of rings. We unify different results established in the literature for Ore …
On NI and NJ skew PBW extensions
We establish necessary or sufficient conditions to guarantee that skew Poincaré–Birkhoff–
Witt extensions are NI or NJ rings. Our results extend those corresponding for skew …
Witt extensions are NI or NJ rings. Our results extend those corresponding for skew …
[PDF][PDF] On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras
A Reyes, C Sarmiento - arXiv preprint arXiv:2105.14651, 2021 - arxiv.org
arXiv:2105.14651v2 [math.DG] 1 Jun 2021 Page 1 arXiv:2105.14651v2 [math.DG] 1 Jun 2021
ON THE DIFFERENTIAL SMOOTHNESS OF 3-DIMENSIONAL SKEW POLYNOMIAL …
ON THE DIFFERENTIAL SMOOTHNESS OF 3-DIMENSIONAL SKEW POLYNOMIAL …
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 …
Ouyang and Birkenmeier (Weak annihilator over extension rings, 2012) in the setting of …
[PDF][PDF] A note on the differential smoothness of skew PBW extensions
A Rubiano, A Reyes - arXiv preprint arXiv:2410.13967, 2024 - arxiv.org
arXiv:2410.13967v1 [math.RA] 17 Oct 2024 Page 1 arXiv:2410.13967v1 [math.RA] 17 Oct 2024
A NOTE ON THE DIFFERENTIAL SMOOTHNESS OF SKEW PBW EXTENSIONS ANDRÉS …
A NOTE ON THE DIFFERENTIAL SMOOTHNESS OF SKEW PBW EXTENSIONS ANDRÉS …
Maps between schematic semi-graded rings
Motivated by Smith's work\cite {Smith2003, Smith2016} on maps between non-commu\-
tative projective spaces of the form ${\rm Proj} _ {nc} A $ in the setting of non-commutative …
tative projective spaces of the form ${\rm Proj} _ {nc} A $ in the setting of non-commutative …
[PDF][PDF] Smooth geometry of skew PBW extensions over commutative polynomial rings I
A Rubiano, A Reyes - arXiv preprint arXiv:2409.18947, 2024 - arxiv.org
arXiv:2409.18947v1 [math.QA] 27 Sep 2024 Page 1 arXiv:2409.18947v1 [math.QA] 27 Sep
2024 SMOOTH GEOMETRY OF SKEW PBW EXTENSIONS OVER COMMUTATIVE …
2024 SMOOTH GEOMETRY OF SKEW PBW EXTENSIONS OVER COMMUTATIVE …
[PDF][PDF] Smooth Geometry of Diffusion Algebras
A Rubiano, A Reyes - arXiv preprint arXiv:2410.12701, 2024 - arxiv.org
Isaev et al.[21] introduced diffusion algebras in the context of one-dimensional stochastic
processes with exclusion in statistical mechanics. One year later, Pyatov and Twarock [29] …
processes with exclusion in statistical mechanics. One year later, Pyatov and Twarock [29] …
A survey on the fusible property of skew PBW extensions
S Higuera, A Reyes - Journal of Algebraic Systems, 2022 - jas.shahroodut.ac.ir
We present several results that establish the fusible and the regular left fusible properties of
the family of noncommutative rings known as skew Poincar'e-Birkhoff-Witt extensions. Our …
the family of noncommutative rings known as skew Poincar'e-Birkhoff-Witt extensions. Our …