| 一类多循环半群的研究 |
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| 引用本文： | 江洪,田振际,王亚伟.一类多循环半群的研究[J].甘肃科学学报,2008,20(2):30-32. |
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| 作者姓名： | 江洪 田振际 王亚伟 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 摘 要： | 作为双循环丰群的推广定义一种多循环丰群，通过分析运算给出了其自然表示，通过分析格林关系和幂等元证明了该多循环丰群不是双单的，并且只有含幂等元的那个D类是正则的．
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| 关 键 词： | 多循环丰群 双循环丰群 幂等元 正则 |
A Kind of Polycyclic Semigroups |
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| JIANG Hong,TIAN Zhen-ji,WANG Ya-wei.A Kind of Polycyclic Semigroups[J].Journal of Gansu Sciences,2008,20(2):30-32. |
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| Authors: | JIANG Hong TIAN Zhen-ji WANG Ya-wei |
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| Institution: | JIANG Hong,TIAN Zhen-ji,WANG Ya-wei(School of Sciences,Lanzhou University of Science , Technology,Lanzhou 730050,China) |
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| Abstract: | As a generalization of bicyclic semigroups,a kind of polycyclic semigroups is defined.By analyzing its multiplication,the natural representation is given.Based on the Green's relations and the idempotent,it is proved that the polycyclic semigroup is not bisimple,and only the D-class containing idempotents is regular. |
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| Keywords: | polycyclic semigroup bicyclic semigroup idempotent regular |
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