| 半群作用的传递属性 |
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| 引用本文： | 龙雄武,汪火云,陈宇光.半群作用的传递属性[J].广州大学学报(自然科学版),2011,10(2):11-14. |
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| 作者姓名： | 龙雄武 汪火云 陈宇光 |
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| 作者单位： | 广州大学数学与信息科学学院,广东广州,510006 |
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| 基金项目： | 国家自然科学基金，广州市属高校科技计划项目 |
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| 摘 要： | 研究了半群作用的传递属性.证明了一个系统是thick传递的当且仅当它是弱混合的,其中作用半群是一个交换的幺半群;此外,还证明了一个几乎周期点稠密的(△syndetic)*传递系统是弱混合的,其中作用半群是一个交换半群.
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| 关 键 词： | 半群作用 传递性 几乎周期点 弱混合 |
The transitivity of semigroup action |
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| LONG Xiong-wu,WANG Huo-yun,CHEN Yu-guang.The transitivity of semigroup action[J].Journal og Guangzhou University:Natural Science Edition,2011,10(2):11-14. |
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| Authors: | LONG Xiong-wu WANG Huo-yun CHEN Yu-guang |
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| Institution: | (School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China) |
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| Abstract: | This paper deals with the transitivity of semigroup action.We show that a system is thick transitive if it is weakly mixing,where the semigroup which acts on the space is an abelian monoid.Additionally,we show that a(△syndetic)* transitive system with dense almost period points is weakly mixing,where the semigroup which acts on the space is an abelian semigroup. |
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| Keywords: | semigroup action transitivity almost period point weakly mixing |
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