TY - JOUR
T1 - Constructing the Cocyclic Structures for Crossed Coproduct Coalgebras
AU - Chen , Quanguo
AU - Wang , Dingguo
JO - Communications in Mathematical Research 
VL - 1
SP - 81
EP - 88
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.01.09
UR - https://global-sci.org/intro/article_detail/cmr/18950.html
KW - Hopf algebra, crossed coproduct coalgebra, cocyclic object.
AB - <p style="text-align: justify;">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.</p>