| 具有稳定子集的奇异压缩变换半群 |
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| 引用本文： | 唐先聪.具有稳定子集的奇异压缩变换半群[J].淮阴工学院学报,2012(5):11-14. |
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| 作者姓名： | 唐先聪 |
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| 作者单位： | 淮阴工学院数理学院 |
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| 摘 要： | 半群理论广泛地应用于数学、计算机语言、编码理论等领域。Clay定理表明任何半群都同构于某个变换半群，具有各种性质的奇异变换半群的子半群是半群理论研究的热点问题之一。Sn（4）是定义在瓦上的具有稳定子集的奇异压缩变换半群，研究该半群的Green-关系、生成集、半群的基数等代数和组合性质。
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| 关 键 词： | 压缩变换半群 稳定子集 Green-关系 组合性质 |
The Singular Compressing Transformation Semigroup on a Stable Subset |
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| TANG Xian-cong.The Singular Compressing Transformation Semigroup on a Stable Subset[J].Journal of Huaiyin Institute of Technology,2012(5):11-14. |
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| Authors: | TANG Xian-cong |
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| Affiliation: | TANG Xian-cong(Faculty of Mathematics and Physics,Huaiyin Institute of Technology,Huai’an Jiangsu 223003,China) |
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| Abstract: | Semigroup theory is extensively applied in Maths,computer language,coding theory,and etc..The Clay theorem shows that any semigroup is isomorphism of a transformation semigroup.In this paper,the Singular compressing semigroups on a stable subset is defined.The relation,the generating subset,else algebra properties and else some combination properties above the semigroups are also studied. |
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| Keywords: | compressing transformation semigroups stable subset relatio combination properties |
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