Constructing the Co cyclic Structures for Crossed Copro duct Coalgebras |
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| Authors: | Chen Quan-guo Wang Ding-guo Du Xian-kun |
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| Affiliation: | 1. School of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang, 835000
2. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165 |
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| Abstract: | In this paper, we construct a cocylindrical object associated to two coalgebras and a cotwisted map. It is shown that there exists an isomorphism between the cocyclic object of the crossed coproduct coalgebra induced from two coalgebras with a cotwisted map and the cocyclic object related to the diagonal of the cocylindrical object. |
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| Keywords: | Hopf algebra crossed coproduct coalgebra cocyclic object |
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