| Weak smash products, weak braided products and weak Hopf quantum Yang-Baxter modules |
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| 引用本文： | ZHANG Liangyun. Weak smash products, weak braided products and weak Hopf quantum Yang-Baxter modules[J]. 自然科学进展(英文版), 2005, 15(10): 887-895. DOI: 10.1080/10020070512331343070 |
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| 作者姓名： | ZHANG Liangyun |
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| 作者单位： | 1. Department of Mathematics, Nanjing Agricultural University, Nanjing 210095, China; 2. Department of Mathematics, Nanjing University, Nanjing 210008, China |
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| 基金项目： | Supported by the Post-Doctoral Fund of Jiangsu Province (0203003403)the National Science Foundation of Jiangsu Province (04KJB110051) |
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| 摘 要： | This paper mainly gives a sufficient and necessary condition for weak smash products of weak dimodule algebras to be weak bialgebras, and gives a sufficient and necessary condition for weak braided products of weak quantum Yang-Baxter module algebras to be weak bialgebras, and gives a Fundamental Theorem of weak Hopf quantum Yang-Baxter modules.
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| 关 键 词： | weak Hopf algebras weak smash products weak braided products weak Hopf quantum Yang-Baxter modules. |
Weak smash products, weak braided products and weak Hopf quantum Yang-Baxter modules |
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| ZHANG Liangyun. Weak smash products, weak braided products and weak Hopf quantum Yang-Baxter modules[J]. Progress in Natural Science, 2005, 15(10): 887-895. DOI: 10.1080/10020070512331343070 |
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| Authors: | ZHANG Liangyun |
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| Affiliation: | Department of Mathematics, Nanjing Agricultural University, Nanjing 210095, China;Department of Mathematics, Nanjing University, Nanjing 210008,China |
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| Abstract: | This paper mainly gives a sufficient and necessary condition for weak smash products of weak dimodule algebras to be weak bialgebras, and gives a sufficient and necessary condition for weak braided products of weak quantum Yang-Baxter module algebras to be weak bialgebras, and gives a Fundamental Theorem of weak Hopf quantum Yang-Baxter modules. |
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| Keywords: | weak Hopf algebras weak smash products weak braided products weak Hopf quantum Yang-Baxter modules |
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