Cleft Coextension for symmetric twisted partial coactions on coalgebras
Cleft Coextension for symmetric twisted partial coactions on coalgebras
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DOI：
10.18910/72321
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发表时间：
2019-04
影响因子：
0.4
通讯作者：
Q.-G. Chen;B. Yang
中科院分区：
文献类型：
--
作者：
Q.-G. Chen;B. Yang
本文引入了对称扭部分Hopf余作用的概念，并讨论了在什么条件下对称扭部分Hopf余作用是可整体化的.然后，我们将引入部分分裂余扩张的概念，它与M. M. S. Alves等人，并讨论了它与本文第一作者引入的部分交叉余积的关系，它覆盖了经典Hopf代数理论中的经典结果。
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.