Constructing the Cocyclic Structures for Crossed Coproduct Coalgebras

Constructing the Cocyclic Structures for Crossed Coproduct Coalgebras

Year:    2015

Author:    Quanguo Chen, Dingguo Wang

Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2015.01.09

Communications in Mathematical Research , Vol. 31 (2015), Iss. 1 : pp. 81–88

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Hopf algebra crossed coproduct coalgebra cocyclic object.

Author Details

Quanguo Chen

Dingguo Wang