Cleft Coextension for symmetric twisted partial coactions on coalgebras

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2019-04-01 DOI:10.18910/72321

Q.-G. Chen, B. Yang

引用次数: 0

Abstract

In this paper, we will introduce the concepts of symmetric twisted partial Hopf coactions, and discuss under which conditions a given symmetric twisted partial Hopf coaction is globalizable. Then we will introduce the notion of partial cleft coextensions which are dual to partial cleft extensions introduced by M. M. S. Alves et.al., and discuss its relation with partial crossed coproducts introduced by the first author of this paper, which covers the classical results in classical Hopf algebra theory.

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余代数上对称扭曲部分协同的裂隙上拓

本文引入了对称扭曲部分Hopf协同的概念，并讨论了给定对称扭曲部分Hopf协同在哪些条件下是可全局的。然后我们将引入部分裂共延的概念，它是M. M. S. Alves等人引入的部分裂共延的对偶。，并讨论了它与第一作者所介绍的部分交叉余积的关系，其中涵盖了经典Hopf代数理论中的经典结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.