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POCK_n的一类正则子半群的秩 被引量:1

On the Ranks of Certain Regular Subsemigroups of POCK_n
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摘要 设自然数n≥5,Xn={1,2,…,n},POn是Xn上的保序部分变换半群,POCKn是POn中核具有连续横截面的元素所构成的子半群,我们得到POCKn的正则元构成的子半群秩为2n-1. Let POn be the semigroup of all the order-preserving partial transformations on Xn={1,2,…,n } for n≥5 .Let POCKn be subsemigroup consisting of kernel with continuous transversal in POn . It is shown that the rank of regular subsemigroup in POCKn is equal to 2n-1 .
出处 《常熟理工学院学报》 2015年第2期96-102,119,共8页 Journal of Changshu Institute of Technology
关键词 保序 连续横截面 正则 order-preserving continuous transversal regular rank
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