Cleft extensions and Galois extensions for Hom-associative algebras

被引：6

作者：

Alonso Alvarez, J. N. ^{[1
]}

Fernandez Vilaboa, J. M. ^{[2
]}

Gonzalez Rodriguez, R. ^{[3
]}

机构：

[1] Univ Vigo, Dept Matemat, Campus Univ Lagoas Marcosende, E-36280 Vigo, Spain

[2] Univ Santiago de Compostela, Dept Alxebra, E-15771 Santiago De Compostela, Spain

[3] Univ Vigo, Dept Matemat Aplicada 2, Campus Univ Lagoas Marcosende, E-36310 Vigo, Spain

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2016年 / 27卷 / 03期

关键词：

Monoidal category; Hom-associative algebra; cleft extension; Galois extension; normal basis;

D O I：

10.1142/S0129167X16500257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：19

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