Cleft extensions and Galois extensions for Hom-associative algebras-Reference-Cited by-同舟云学术

Cleft extensions and Galois extensions for Hom-associative algebras

Published:2016-03 Issue:03 Volume:27 Page:1650025
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Alonso Álvarez J. N.¹,Fernández Vilaboa J. M.²,González Rodríguez R.³

Affiliation:

1. Departamento de Matemáticas, Universidad de Vigo, Campus Universitario Lagoas-Marcosende, E-36280 Vigo, Spain

2. Departamento de Álxebra, Universidad de Santiago de Compostela, E-15771 Santiago de Compostela, Spain

3. Departamento de Matemática Aplicada II, Universidad de Vigo, Campus Universitario Lagoas-Marcosende, E-36310 Vigo, Spain

Abstract

In this paper, we consider Hom-(co)modules associated to a Hom-(co)associative algebra and define the notion of Hom-triple. We introduce the definitions of cleft extension and Galois extension with normal basis in this setting and we show that, as in the classical case, these notions are equivalent in the Hom setting.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X16500257

Reference15 articles.

1. Monoidal Hom–Hopf Algebras

2. Cleft comodule algebras for a bialgebra

3. A characterization of the cleft comodule triples

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