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Volume 31, Issue 1
Constructing the Cocyclic Structures for Crossed Coproduct Coalgebras

Quanguo Chen & Dingguo Wang

Commun. Math. Res., 31 (2015), pp. 81-88.

Published online: 2021-05

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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.

  • Keywords

Hopf algebra, crossed coproduct coalgebra, cocyclic object.

  • AMS Subject Headings

16W30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-31-81, author = {Quanguo and Chen and and 18603 and and Quanguo Chen and Dingguo and Wang and and 18604 and and Dingguo Wang}, title = {Constructing the Cocyclic Structures for Crossed Coproduct Coalgebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {1}, pages = {81--88}, 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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.01.09}, url = {http://global-sci.org/intro/article_detail/cmr/18950.html} }
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 -

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.

Quanguo Chen & Dingguo Wang. (2021). Constructing the Cocyclic Structures for Crossed Coproduct Coalgebras. Communications in Mathematical Research . 31 (1). 81-88. doi:10.13447/j.1674-5647.2015.01.09
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