Some Results on Cohomology of Twisted Smash Coproduct  

作　　者：Ling JIA 

机构地区：[1]Department of Mathematics and Statistics,Ludong University,Yantai 264025,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第8期1484-1492,共9页数学学报（英文版）

基　　金：Supported by the Natural Science Foundation of Shandong Provience(Grant No.ZR2012AL02)。

摘　　要：With the main motivation to present some alternatives to the cosemisimplicity of twisted Smash coproduct,this paper first gives some basic constructions which make sense to consider the derived functors of some left exact functors from the category of comodules to vector spaces.Then,the Hochschild–Serre spectral sequence for twisted Smash coproduct coalgebras is obtained,which extends some results on homological properties given in the category of comodules over Smash coproduct in the literature.

关 键 词：Twisted Smash coproduct bicomodule coalgebra Hopf algebra spectral sequence 

分 类 号：O15[理学—数学]