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A Sufficient Condition for a Smash Product as a Transfinite Left Free Normalizing Extension and Its Application
Authors:Zhongkui Liu  Zhongkui Liu
Affiliation:(1) Department of Mathematics, Zhejing University Xixi Campus, Hangzhou 310028, P.R. China, E-mail: fangli@mail.hz.zj.cn, CN;(2) Department of Mathematics, Northwest Normal University, Lanzhou 730070, P.R. China, CN
Abstract:In this paper, a sufficient condition is given under which the smash product A#H is a transfinite left free normalizing extension of an algebra A. Moreover, the result is applied to a skew semigroup ring, a skew group ring and the quantum group U q (sl(2)) such that some properties are shown. Received April 14, 1997, Accepted August 10, 1998
Keywords:Smash product   Transfinite left free normalizing extension   Skew semigroup ring   Quantum group
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