The Antipode of a Braided Dual Quasi-Hopf Algebra is Bijective |
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Authors: | Xiao-Li Fang Li-Hui Zhao |
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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 |
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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 : 111 – 118 .Crossref] , Google Scholar]]. |
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Keywords: | Braided dual quasi-Hopf algebra Dual quasi-Hopf algebra Quasi-Yang–Baxter equation |
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