| Δ-结合代数的Green环 |
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| 引用本文： | 苏冬,杨士林.Δ-结合代数的Green环[J].北京工业大学学报,2017,43(8). |
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| 作者姓名： | 苏冬 杨士林 |
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| 作者单位： | 北京工业大学应用数理学院,北京,100124;北京工业大学应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金资助项目，北京市自然科学基金资助项目 |
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| 摘 要： | 为了研究有限维Δ-结合代数的Green环,首先引入2类由八维半单Hopf代数扩张而得的有限维Δ-结合代数,然后引入有限维Δ-结合代数的Green环的概念,给出这2类有限维Δ-结合代数的Green环的生成元和生成关系,从而确定了它们的结构.
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| 关 键 词： | 弱Hopf代数 Δ-结合代数 Green环 Hopf代数 |
Green Rings of the Δ-associative Algebras |
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| SU Dong,YANG Shilin.Green Rings of the Δ-associative Algebras[J].Journal of Beijing Polytechnic University,2017,43(8). |
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| Authors: | SU Dong YANG Shilin |
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| Abstract: | To study the Green rings of finite dimensional Δ-associative algebras, firstly, two classes of finite dimensional Δ-associative algebras were introduced by expanding eight dimension semisimple Hopf algebras. Then by generalizing the definition of the Green rings of the Hopf algebras to the Δ-associative algebras, the Green rings of the two classes of finite dimensional Δ-associative algebras and the structure were determined by the generators and relations. |
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| Keywords: | weak Hopf algebras △-associative algebras Green rings Hopf algebras |
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