APM  Vol.3 No.4 , July 2013
The Integrals of Entwining Structure

In this paper the integrals of entwining structure (A,C,ψ) are discussed, where A is a k-algebra, C a k-coalgebra and a k-linear map. We prove that there exists a normalized integral γ:CHom(C,A) of (A,C,ψ) if and only if any representation of (A,C,ψ) is injective in a functorial way as a corepresentation of C. We give the dual results as well.

Cite this paper: Y. Yuan, L. Dong and Z. Jiao, "The Integrals of Entwining Structure," Advances in Pure Mathematics, Vol. 3 No. 4, 2013, pp. 381-389. doi: 10.4236/apm.2013.34055.

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