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The Hochschild cohomology of the quasi-entwining structure
Authors:LI Hui & YAO HaiLou College of Applied Science  Beijing University of Technology  Beijing   China
Affiliation:LI Hui & YAO HaiLou College of Applied Science,Beijing University of Technology,Beijing 100124,China
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 quasientwining 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-dimensional algebras and coalgebras.
Keywords:quasi-entwining structure  Hochschild cohomology  path coalgebras  
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