| Long Bialgebras, Dimodule Algebras and Quantum Yang-Baxter Modules over Long Bialgebras |
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| 引用本文： | Liang Yun ZHANG. Long Bialgebras, Dimodule Algebras and Quantum Yang-Baxter Modules over Long Bialgebras[J]. 数学学报(英文版), 2006, 22(4): 1261-1270. DOI: 10.1007/s10114-005-0683-5 |
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| 作者姓名： | Liang Yun ZHANG |
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| 作者单位： | [1]College of Science, Nanjing Agricultural University, Nanjing 210095, P. R. China [2]Department of Mathematics, Nanjing University, Nanjing 210008, P. R. China |
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| 摘 要： |
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| 关 键 词： | 双代数 量子Yang-Baxter模块 分解 必要条件 |
| 收稿时间： | 2005-01-13 |
| 修稿时间： | 2005-01-132005-04-30 |
Long Bialgebras, Dimodule Algebras and Quantum Yang–Baxter Modules over Long Bialgebras |
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| Liang Yun Zhang. Long Bialgebras, Dimodule Algebras and Quantum Yang–Baxter Modules over Long Bialgebras[J]. Acta Mathematica Sinica(English Series), 2006, 22(4): 1261-1270. DOI: 10.1007/s10114-005-0683-5 |
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| Authors: | Liang Yun Zhang |
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| Affiliation: | (1) College of Science, Nanjing Agricultural University, Nanjing 210095, P. R. China;(2) Department of Mathematics, Nanjing University, Nanjing 210008, P. R. China |
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| Abstract: | This paper gives a sufficient and necessary condition for a bialgebra to be a Long bialgebra, and proves a braided product to be a Long bialgebra under some conditions. It also gives a direct sum decomposition of quantum Yang-Baxter modules over Long bialgebras. |
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| Keywords: | Long bialgebra dimodule algebra braided product quantum Yang-Baxter module |
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