$G$-Cleft Extension of Semilattice Graded Weak Hopf Algebra
Received:July 10, 2014  Revised:January 16, 2015
Key Words: semilattice graded weak Hopf algebra   $G$-crossed product   $H$-$G$-cleft extension  
Fund Project:Supported by the Project of Shandong Province Higher Educational Science and Technology Program (Grant No.J14LI57), the Scientific Research Foundation of Shandong Jiaotong University (Grant No.Z201428) and Research Fund for the Doctoral Program of Shandong Jiaotong Uinversity.
Author NameAffiliation
Haijun CAO School of Science, Shandong Jiaotong University, Shandong 250375, P. R. China 
Mianmian ZHANG School of Science, Hangzhou Normal University, Zhejiang 310036, P. R. China 
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      We give the decomposition of a Clifford monoid algebra into the semilattice direct sum of crossed products, and generalize the crossed-product result to a $G$-crossed product with an $H$-$G$-cleft extension.
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