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S. Caenepeel, G. Militaru and S. Zhu, “Doi-Hopf Modules, Yetter-Drinfel’d Modules and Frobenius Type Properties,” Transactions of the American Mathematical Society, Vol. 349, No. 11, 1997, pp. 4311-4342. doi:10.1090/S0002-9947-97-02004-7

has been cited by the following article:

• TITLE: The Integrals of Entwining Structure

  AUTHORS: Yuzhuo Yuan, Lihong Dong, Zhengming Jiao

  KEYWORDS: Entwining Structure; Integral; Forgetful Functor; Natural Transformation

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.4, July 1, 2013

  ABSTRACT: 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:C→Hom(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.