| $G$-Inner Actions Equivalence of $G$-Crossed Products |
| Received:January 25, 2015 Revised:July 08, 2015 |
| Key Words:
semilattice graded weak Hopf algebra $G$-crossed product $G$-inner actions
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| Fund Project:Supported by the Higher Educational Science and Technology Program of Shandong Province (Grant No.J14LI57), the Scientific Research Foundation of Shandong Jiaotong University (Grant No.Z201428) and the Research Fund for the Doctoral Program of Shandong Jiaotong Uinversity. |
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| Abstract: |
| We give the definition of $G$-inner action of two semilattice graded weak Hopf algebras with the same semilattice $Y$, and the necessary and sufficient conditions for two $G$-crossed products to be isomorphic. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.01.005 |
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