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Hopf algebras and skew PBW extensions Translated title: Álgebras de Hopf y extensiones PBW torcidas

research-article

Author(s): Luis Alfonso Salcedo Plazas

Publication date (Print and electronic): December 2019

Journal: Ciencia en Desarrollo

Publisher: Universidad Pedagógica y Tecnológica de Colombia

Keywords: Álgebras de Hopf, extensiones PBW torcidas, extensiones de Ore, extensiones Hopf Ore generalizadas, Hopf algebras, skew PBW extensions, Hopf Ore extensions, generalized Hopf Ore extensions

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Abstract

Abstract 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 Hopf skew PBW extensions.

Translated abstract

Resumen En este artículo se relacionan algunas estructuras de álgebra de Hopf sobre extensiones de Ore y extensiones PBW torcidas de un álgebra de Hopf. Estas relaciones son ilustradas con ejemplos. También se demuestra que las extensiones Hopf Ore y las extensiones Hopf Ore generalizadas son extensiones PBW torcidas de Hopf.

Related collections

Most cited references 22

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Uniform rank over differential operator rings and Poincaré-Birkhoff-Witt extensions

Kenneth Goodearl, Allen D. Bell (1988)

0 comments Cited 17 times – based on 0 reviews      Review now

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Properties of pointed and connected Hopf algebras of finite Gelfand-Kirillov dimension

Guangbin Zhuang (2013)

0 comments Cited 12 times – based on 0 reviews      Review now

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PBW BASES FOR SOME 3-DIMENSIONAL SKEW POLYNOMIAL ALGEBRAS

Héctor Jorge Súarez, Armando Reyes (2017)

0 comments Cited 11 times – based on 0 reviews      Review now

Author and article information

Journal

Journal ID (publisher-id): cide

Title: Ciencia en Desarrollo

Abbreviated Title: Ciencia en Desarrollo

Publisher: Universidad Pedagógica y Tecnológica de Colombia (Tunja, Boyacá, Colombia )

ISSN (Print): 0121-7488

Publication date (Print and electronic): December 2019

Volume: 10

Issue: 2

Pages: 125-135

Affiliations

[1] Tunja Boyacá orgnameUniversidad Pedagógica y Tecnológica de Colombia Colombia

Article

Publisher ID: S0121-74882019000200125 Publisher ID: S0121-7488(19)01000200125

DOI: 10.19053/01217488.v10.n2.2019.8797

SO-VID: 9a058da4-c6c4-40eb-ad71-d2ddec1cbdcf

License:

This work is licensed under a Creative Commons Attribution 4.0 International License.

History

Date received : 08 December 2018

Date accepted : 08 May 2019

Page count

Figures: 0, Tables: 0, Equations: 0, References: 26, Pages: 11

Product

SciELO Colombia

Categories

Subject: Articles

Keywords: Álgebras de Hopf,extensiones PBW torcidas,extensiones de Ore,extensiones Hopf Ore generalizadas,skew PBW extensions,Hopf algebras,Hopf Ore extensions,generalized Hopf Ore extensions

Data availability:

Keywords: Álgebras de Hopf, extensiones PBW torcidas, extensiones de Ore, extensiones Hopf Ore generalizadas, skew PBW extensions, Hopf algebras, Hopf Ore extensions, generalized Hopf Ore extensions

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