Abstract
In this paper, we introduce FS-coalgebras, which provide solutions
of FS-equations and also solution of
braid equations considered by Caenepeel, Militaru and Zhu.
FS-coalgebras are constructed by using
FS-equations and Harrison cocycles.
As applications, we prove that every bialgebra
H is an FS-bialgebra if and only if there is a
two-sided integral α in
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11401311
Award Identifier / Grant number: 11571173
Funding source: Natural Science Foundation of Jiangsu Province
Award Identifier / Grant number: BK20140676
Award Identifier / Grant number: BK20141358
Funding statement: This work is supported by the Fundamental Research Funds for the Central Universities (No. KJQN201550), the National Natural Science Foundation of China (11401311, 11571173), and the Natural Science Foundation of Jiangsu Province (BK20140676, BK20141358).
Acknowledgements
The authors would like to thank the referee for his/her helpful suggestions.
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