| 半群W(n,k)的正则性与Green’s关系 |
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| 引用本文： | 丁訸,徐波,宋家彬,腾文.半群W(n,k)的正则性与Green’s关系[J].嘉应学院学报,2013,31(2):9-13. |
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| 作者姓名： | 丁訸 徐波 宋家彬 腾文 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵阳,550001 |
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| 摘 要： | 设Xn={1,2,…,n}(n≥3),并赋予自然序,在Xn上定义一个新的变换半群:W(n,k)={f∈Tn:x,y∈Xn,|x-k|≤|y-k|■|f(x)-k|≤|f(y)-k|},k∈{2,3,…,n-1}.讨论了半群W(n,k)的正则性,并给出了其全部Green’s关系的刻画.
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| 关 键 词： | 变换半群 正则元 Green’s关系 |
Regularity and Green's Relations of the Semigroup W(n,k) |
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| DING He
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XU Bo
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SONG Jia-bin
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TENG Wen.Regularity and Green's Relations of the Semigroup W(n,k)[J].Journal of Jiaying University,2013,31(2):9-13. |
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| Authors: | DING He XU Bo SONG Jia-bin TENG Wen |
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| Institution: | (School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China) |
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| Abstract: | Let Xn = { 1,2,..., n} （n ≥3）. Let it be ordered in the standard way, and we defined a new transforma- tion semigroup in Xn. Its representation is as follows （n,k）={f∈Tn：A↓x,y∈以,｜x-k｜≤ly-k｜→f｜（＊）-kl≤｜f（y）-k｜,k∈{2,3,…,n-1} We then discussed the regularity and Green＇s relations of the semigroup W （n,k） . |
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| Keywords: | transformation semigroup regulary element Green＇s relations |
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