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The Antipode of a Braided Dual Quasi-Hopf Algebra is Bijective
Authors:Xiao-Li Fang  Li-Hui Zhao
Institution:1. Department of Mathematics , Southeast University , Nanjing, Chinaand Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Chinafxl0418@126.com;3. School of Science , Henan University of Science and Technology , Luoyang, China
Abstract:We show that the antipode of a braided dual quasi-Hopf algebra is inner, and, a fortiori, bijective. This improves a result of Li 10 Li , J. Q. ( 2006 ). Dual quasi-Hopf algebras and antipodes . Algebra Colloquium 13 : 111118 .Crossref] Google Scholar]].
Keywords:Braided dual quasi-Hopf algebra  Dual quasi-Hopf algebra  Quasi-Yang–Baxter equation
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