| 一类特殊正则半群上的格林关系 |
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| 引用本文： | 王斌,田振际,刘钢.一类特殊正则半群上的格林关系[J].甘肃科学学报,2010,22(1):11-13. |
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| 作者姓名： | 王斌 田振际 刘钢 |
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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： | 构造一个特殊类型的正则半群S,使S中的任意元素a,b满足(ab)n∈a∪b.研究这类正则半群S上的格林关系,进而得出这些格林关系是S上的同余.
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| 关 键 词： | 正则半群 格林关系 同余 带 |
Green Relations on a Particular Regular Semigroup |
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| WANG Bin,TIAN Zhen-ji,LIU Gang.Green Relations on a Particular Regular Semigroup[J].Journal of Gansu Sciences,2010,22(1):11-13. |
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| Authors: | WANG Bin TIAN Zhen-ji LIU Gang |
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| Institution: | (School of Sciences ,Lanzhou University of Science and Technology, Lanzhou 730050, China) |
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| Abstract: | A particular regular semigroup S which satisfies the condition that （ab）n ∈ （a） ∪ （b） for any elements a ,b of S is given. Then the Green relations on the regular semigroup are investigated. Moreover,it is proved that these Green relations are congruences on the semigroup. |
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| Keywords: | regular semigroup Green relation congruence band |
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