On BiHom-L-R Smash Products

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外文摘要：Let(H,αH,βH,ψH,ωH,SH)be a BiHom-Hopf algebra and(A,αA,βA)be an(H,αH,βH,ψH,ωH)-BiHom-bimodule algebra,where the maps αH,βH,ψH,ωH,αA,βA are bijective.We first prove the Maschke-type theorem for the BiHom-L-R smash product over a finite-dimensional semisimple BiHom-Hopf algebra.Next we give a Morita context between the BiHom-subalgebra AbiH and the BiHom-L-R smash product A#H.

外文关键词：

BiHom-bimodule algebraBiHom-L-R smash productMaschke-type theo-remMorita context

作者：

Jiafeng Lü、Panpan Wang、Ling Liu

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作者单位：

Department of Mathematics,Zhejiang Normal University Jinhua,Zhejiang 321004,China

基金：

NSF of ChinaNSF of ChinaNatural Science Foundation of Zhejiang ProvinceFoundation of Zhejiang Educational Committee

项目编号：

1180151512071441LY20A010003Y201942625

出版年：

2023

DOI：

10.1142/S1005386723000202

代数集刊(英文版)

CSCD北大核心

ISSN：1005-3867

年,卷(期)：2023.30(2)

参考文献量16