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The Hochschild cohomology of the quasi-entwining structure

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Abstract

We give a concept of quasi-entwining structure, and investigate the Hochschild cohomology of the quasi-entwining structure. We obtain the equivalent theorems on the Hochschild cohomology of the quasi-entwining structure. In particular, we get the isomorphism theorem between the Hochschild cohomology of coalgebra structures and the Hochschild cohomology of the dual algebra structures for the quasi-entwining structures of finite-dimension algebras and coalgebras.

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Authors and Affiliations

  1. College of Applied Science, Beijing University of Technology, Beijing, 100124, China

    Hui Li & HaiLou Yao

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  1. Hui Li
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  2. HaiLou Yao
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Correspondence to HaiLou Yao.

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Li, H., Yao, H. The Hochschild cohomology of the quasi-entwining structure. Sci. China Math. 53, 1103–1110 (2010). https://doi.org/10.1007/s11425-009-0195-3

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  • DOI: https://doi.org/10.1007/s11425-009-0195-3

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