[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 the diameter of the zero-divisor graph over skew PBW extensions
M Abdi, Y Talebi - Journal of Algebra and Its Applications, 2024 - World Scientific
The aim of this paper is to investigate the interplay between the algebraic properties of a
skew Poincaré–Birkhoff–Witt extesion ring A= σ (R)〈 x 1,…, xn〉 and the graph-theoretic …
skew Poincaré–Birkhoff–Witt extesion ring A= σ (R)〈 x 1,…, xn〉 and the graph-theoretic …
Some interactions between Hopf Galois extensions and noncommutative rings
F Calderón, A Reyes - arXiv preprint arXiv:2103.12860, 2021 - arxiv.org
In this paper, our objects of interest are Hopf Galois extensions (eg, Hopf algebras, Galois
field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and …
field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and …
[HTML][HTML] Propiedad χ en extensiones PBW torcidas graduadas
En este artículo estudiamos la propiedad χ de álgebras que son extensiones PBW torcidas
graduadas. Demostramos que si R= p> 0 R p es un álgebra noetheriana-graduada y A= σ …
graduadas. Demostramos que si R= p> 0 R p es un álgebra noetheriana-graduada y A= σ …
On derivations of differential Ore extensions
A Abella, I Pan - Journal of Algebra and Its Applications, 2024 - World Scientific
Let δ: R→ R be a derivation of a ring R, and let T= R [t; δ] be the differential Ore extension of
R defined by putting ta= at+ δ (a) for all a∈ R. We describe the derivations of T extending a …
R defined by putting ta= at+ δ (a) for all a∈ R. We describe the derivations of T extending a …
Right Buchberger algorithm over bijective skew PBW extensions
W Fajardo - Fundamenta Informaticae, 2021 - content.iospress.com
In this paper we present a right version of the Buchberger algorithm over skew Poincaré-
Birkhoff-Witt extensions (skew PBW extensions for short) defined by Gallego and Lezama …
Birkhoff-Witt extensions (skew PBW extensions for short) defined by Gallego and Lezama …