| 有强带C-根的半群 |
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| 引用本文： | 李慧明,高振林,刘皖平. 有强带C-根的半群[J]. 上海理工大学学报, 2014, 36(1): 15-20 |
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| 作者姓名： | 李慧明 高振林 刘皖平 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093 |
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| 摘 要： | 应用半群理论简介中关于半群的根描述,引进半群的强(带)C-根、有强带C-根的半群等概念.指出有强带C-根的半群类包含左(右)群带的半格半群作为其子类.讨论强(带)C-根的性质,有强带C-根的半群的结构性质.明确它与左(右)群带的半格半群、左C-半群之间的关系.有强带C-根的半群的结构特征定理推广了左(右)群带的半格半群、左C-半群的结构特征定理的结果.这些结果表明,半群的根理论是研究半群结构的一种有效方法.
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| 关 键 词： | 左(右)逆半群 (左)C-半群 强(带)C-根 左(右)群带的半格 |
| 收稿时间： | 2013-01-20 |
Semigroups with Strong Band Clifford Radicals |
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| LI Hui-ming,GAO Zhen-lin and LIU Wan-ping. Semigroups with Strong Band Clifford Radicals[J]. Journal of University of Shanghai For Science and Technology, 2014, 36(1): 15-20 |
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| Authors: | LI Hui-ming GAO Zhen-lin LIU Wan-ping |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | The radicals of semigroups were described in accordance with the semigroup theory.The concepts of strong(band) C-radicals of semigroups and the semigroups with strong band C-radicals were defined.It was indicated that the semilattice of left(right) bands of groups and left C-semigroups are contained in the class of semigroups.The properties of the strong band C-radicals and the semigroups with strong band C-radicals were studied.The structure theorem of this class of semigroups was proved.The results in the article generalize the results of semilattice of left(right) bands of groups and left C-semigroups.So,the theory of radicals of semigroup is an effective ways to study the structure of semigroups. |
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| Keywords: | left(right)inverse semigroups (left)C-semigroups strong(band) C-radicals semilattice of left(right) bands of groups |
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