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OIn的理想K(n,r)的极大逆子半群 被引量:9

Maximal Inverse Subsemigroup for the Ideal K(n,r) of OI_n
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摘要 Xn为n元有限集,OIn为Xn上的一切保序严格部分一一变换半群.记K(n,r)={α∈OIn∶|Tmα|≤r}(0≤r≤n-1)则K(n,r)(0≤r≤n-1)是OIn的理想.我们刻划了K(n,r)(1≤r≤n-1)的极大逆子半群. Let X,, be finite set of containing n elements, and OIn be semigroup of all orderpreserving strictly partial one-to-one transformation on the Xn. WritingK(n,r)={α∈OIn:|Tmα|≤r}(0≤r≤n-1), then K(n,r)(0≤r≤n-1) is the ideal of OIn.
作者 高荣海 徐波
出处 《数学的实践与认识》 CSCD 北大核心 2008年第11期154-157,共4页 Mathematics in Practice and Theory
基金 贵州省科技基金资助项目(2007(2008)) 贵州师范大学青年教师科研发展基金(校青科2007-1-20)
关键词 保序变换 对称逆半群 极大逆子半群 order-preserving transformation symmetric inverse semigroup maximal inverse subsemigroups
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参考文献11

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同被引文献74

  • 1张传军,林屏峰,马敏耀.有限保序变换半群O_n的极大子半群[J].贵州师范大学学报(自然科学版),2006,24(4):82-85. 被引量:2
  • 2徐波.关于有限保序部分一一变换半群的极大逆子半群[J].贵州师范大学学报(自然科学版),2007,25(1):72-73. 被引量:10
  • 3徐波.自由幺半群的一族极大自由幺子半群[J].贵州师范大学学报(自然科学版),2007,25(2):68-70. 被引量:4
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