The Hochschild cohomology of the quasi-entwining structure  

作　　者：LI Hui & YAO HaiLou College of Applied Science,Beijing University of Technology,Beijing 100124,China 

出　　处：《Science China Mathematics》2010年第4期1103-1110,共8页中国科学：数学（英文版）

基　　金：supported by Natural Science Foundation of Beijing (Grant No.1092002);Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality;National Natural Science Foundation of China (Grant No.10671061)

摘　　要：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.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.

关 键 词：quasi-entwining STRUCTURE HOCHSCHILD COHOMOLOGY PATH COALGEBRAS 

分 类 号：O154.2[理学—数学]