Constructing the Cocyclic Structures for Crossed Coproduct Coalgebras  

作　　者：CHEN QUAN-GUOAND WANG DING-GUO Du Xian-kun 

机构地区：[1]School of Mathematics and Statistics, Yili Normal University [2]School of Mathematical Sciences, Qufu Normal University

出　　处：《Communications in Mathematical Research》2015年第1期81-88,共8页数学研究通讯（英文版）

基　　金：The NSF(11261063,11171183)of China;the Fund(2012ZDXK03)of the Key Disciplines in the General Colleges and Universities of Xinjiang Uygur Autonomous Region;the Foundation(2013721043)for Excellent Youth Science and Technology Innovation Talents of Xinjiang Uygur Autonomous Region;the NSF(ZR2011AM013)of Shandong Province

摘　　要：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 coproduet coalgebra induced from two coalgebras with a cotwisted map and the cocyclic object related to the diagonal of the cocylindrical object.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 coproduet coalgebra induced from two coalgebras with a cotwisted map and the cocyclic object related to the diagonal of the cocylindrical object.

关 键 词：Hopf algebra crossed coproduct coalgebra coeyclic object 

分 类 号：O153[理学—数学]