Twisted Smash Products and L-R Smash Products for Biquasimodule Hopf Quasigroups |
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| Authors: | Xiao-Li Fang Blas Torrecillas |
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| Institution: | 1. Department of Mathematics , Shaoxing College of Arts and Sciences , Shaoxing , China fxl0418@126.com;3. Department of Algebra and Analysis , University of Almeria , Almerial , Spain |
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| Abstract: | We consider two new algebras from an H-biquasimodule algebra A and a Hopf quasigroup H: twisted smash product A ? H and L-R smash product A?H, and find necessary and sufficient conditions for making them Hopf quasigroups. We generalize the main results in Brzeziński and Jiao 5] and Klim and Majid 9]. Moreover, if H is a cocommutative Hopf quasigroup, we prove that A ? H is isomorphic to A?H as Hopf quasigroups. |
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| Keywords: | Hopf quasigroup Twist double Twisted smash product L-R smash product |
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