The cup products of a weak entwining structure(弱entwining结构的cup积)

给出了弱entwining结构上同调的2种cup积,并证明了它们都是求导度为1的分次结合代数,同时证明了弱entwining结构的复形是弱comp代数,利用其结论得到了2种cup积结构的关系,推广了双代数的Gerstenhaber-Schack理论.

Bibliographic Details
Main Author: SHIMeihua(史美华)
Format: Article
Language:zho
Published: Zhejiang University Press 2017-03-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2017.02.003
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author SHIMeihua(史美华)
author_facet SHIMeihua(史美华)
author_sort SHIMeihua(史美华)
collection DOAJ
description 给出了弱entwining结构上同调的2种cup积,并证明了它们都是求导度为1的分次结合代数,同时证明了弱entwining结构的复形是弱comp代数,利用其结论得到了2种cup积结构的关系,推广了双代数的Gerstenhaber-Schack理论.
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spelling doaj.art-7d22d1f4f9154e7399483d2bb2ada94f2024-03-29T01:58:36ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972017-03-0144213914310.3785/j.issn.1008-9497.2017.02.003The cup products of a weak entwining structure(弱entwining结构的cup积)SHIMeihua(史美华)0https://orcid.org/0000-0002-6151-2494Zhejiang International Studies University, Hangzhou 310012, China(浙江外国语学院,浙江 杭州 310012)给出了弱entwining结构上同调的2种cup积,并证明了它们都是求导度为1的分次结合代数,同时证明了弱entwining结构的复形是弱comp代数,利用其结论得到了2种cup积结构的关系,推广了双代数的Gerstenhaber-Schack理论.https://doi.org/10.3785/j.issn.1008-9497.2017.02.003弱entwining结构弱comp代数cup积
spellingShingle SHIMeihua(史美华)
The cup products of a weak entwining structure(弱entwining结构的cup积)
Zhejiang Daxue xuebao. Lixue ban
弱entwining结构
弱comp代数
cup积
title The cup products of a weak entwining structure(弱entwining结构的cup积)
title_full The cup products of a weak entwining structure(弱entwining结构的cup积)
title_fullStr The cup products of a weak entwining structure(弱entwining结构的cup积)
title_full_unstemmed The cup products of a weak entwining structure(弱entwining结构的cup积)
title_short The cup products of a weak entwining structure(弱entwining结构的cup积)
title_sort cup products of a weak entwining structure 弱entwining结构的cup积
topic 弱entwining结构
弱comp代数
cup积
url https://doi.org/10.3785/j.issn.1008-9497.2017.02.003
work_keys_str_mv AT shimeihuashǐměihuá thecupproductsofaweakentwiningstructureruòentwiningjiégòudecupjī
AT shimeihuashǐměihuá cupproductsofaweakentwiningstructureruòentwiningjiégòudecupjī