Double centralizer properties related to (co)triangular Hopf coquasigroups

Double centralizer properties related to (co)triangular Hopf coquasigroups
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与(共)三角 Hopf coquasigroups 相关的双扶正器性质

DOI:
10.1080/00927872.2020.1814792
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发表时间:
2020-09
影响因子:
0.7
通讯作者:
Shuanhong Wang
Shuanhong Wang
中科院分区:
数学3区
文献类型:
--
作者:
Yue Gu;Shuanhong Wang

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摘要 设\(H\)是一个具有双射对极的三角霍普夫余拟群,\(B\)是一个具有双射对极的余三角霍普夫余拟群。在一些有利条件下,本文的目的是找到一些满足双中心化子性质的对象。
Abstract Let H be a triangular Hopf coquasigroup with bijective antipode and B a cotriangular Hopf coquasigroup with bijective antipode. Under some favorable conditions, the aim of this paper is to find some objects satisfying the double centralizer property for any Hopf coquasigroup A which can be written as a tensor product Hopf coquasigroup As a consequence of our theory, both Schur’s double centralizer theorems for triangular and cotriangular Hopf algebras can be obtained. Our main result provides a new approach to construct more objects which have double centralizer property too.
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