Jacobson’s conjecture and skew PBW extensions

Autor: Armando Reyes

Publikováno v: Revista Integración, Vol 32, Iss 2, Pp 139-152 (2014)

The aim of this paper is to compute the Jacobson’s radical of skew PBW extensions over domains. As a consequence of this result we obtain a direct relation between these extensions and the Jacobson’s conjecture, which implies that skew PBW ext

Externí odkaz: https://doaj.org/article/20ed7a237b0541d39111cc12ac180a77

Álgebras de Hopf y extensiones PBW torcidas

Autor: Salcedo Plazas, Luis Alfonso

Publikováno v: Ciencia en Desarrollo, Volume: 10, Issue: 2, Pages: 125-135, Published: DEC 2019

IIn this article we relate some Hopf algebra structures over Ore extensions and over skew PBW extensions of a Hopf algebra. These relations are illustrated with examples. We also show that Hopf Ore extensions and generalized Hopf Ore extensions are H

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______618::08fd55c973b9e43cd7e3096e1e19cb98
http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0121-74882019000200125&lng=en&tlng=en

El automorfismo de Nakayama de algunas extensiones PBW torcidas

Autor: Héctor Suárez, Armando Reyes

Publikováno v: Ingeniería y Ciencia, Volume: 15, Issue: 29, Pages: 157-177, Published: JUN 2019
Ingeniería y Ciencia, Vol 15, Iss 29 (2019)
Ingeniería y Ciencia; Vol 15, No 29 (2019)
Repositorio EAFIT
Universidad EAFIT
instacron:Universidad EAFIT

Let R be an Artin-Schelter regular algebra and A = σ(R)(x1…,x n ) be a graded quasi-commutative skew PBW extension over R. In this paper we describe the Nakayama automorphism of A using the Nakayama automorphism of the ring of coefficients R. We c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a09a99dc70611bf04ef5a9500656c601
http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S1794-91652019000100157&lng=en&tlng=en

N-Koszul algebras, Calabi-Yau algebras and skew PBW extensions

Autor: Suárez Suárez, Héctor Julio

Publikováno v: Repositorio UN
Universidad Nacional de Colombia
instacron:Universidad Nacional de Colombia

In the schematic approach to non-commutative algebraic geometry arises some important classes of non-commutative algebras like Koszul algebras, Artin-Schelter regular algebras, Calabi-Yau algebras, and closely related with them, the skew PBW extensio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::50de3ae3a55a938e3b1aca65c1a400f9
https://repositorio.unal.edu.co/handle/unal/60792

Interactions between non-commutative algebraic geometry and skew PBW extensions

Autor: Latorre Acero, Edward Orlando

Publikováno v: Repositorio UN
Universidad Nacional de Colombia
instacron:Universidad Nacional de Colombia

We study some relations and interactions between non-commutative algebraic geometry and the skew PBW extensions. For this we will introduce a new class of noncommutative rings, the semi-graded rings, and for them we will prove a generalization of the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c2eaa1320456d6b2a49057de4a4e8fb2
http://bdigital.unal.edu.co/54685/