Quantum Yang-Baxter H-Module Algebras and Their Braided Products

Quantum Yang-Baxter H-Module Algebras and Their Braided Products
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DOI:
10.1081/agb-120019007
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发表时间:
2003-01
影响因子:
0.7
通讯作者:
Liangyun Zhang;W. Tong
Liangyun Zhang;W. Tong
中科院分区:
数学3区
文献类型:
--
作者:
Liangyun Zhang;W. Tong

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Abstract We give a necessary and sufficient condition of the braided product to be a bialgebra or a Hopf algebra and two interesting examples to show that the conditions in Theorem 2.4: “(H1) and (H2)” weaken the commutativity and cocommutativity of H in Caenepeel et al. (Caenepeel, S., Oystaeyen, F. Van, Zhang, Yin-huo (1994). Quantum Yang-Baxter module algebra. K-Theorem 8:231–255.). Dually, we introduce the concept of a braided coproduct and give the distinguished conditions.