吉林大学学报(理学版)
• 数学 • 上一篇 下一篇
金久林, 游泰杰
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JIN Jiulin, YOU Taijie
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摘要： 设Xn={1,2,…,n}并赋予自然数序, MCn是Xn上的单调压缩奇异变换半群. 对任意3≤r≤n-1, 考虑半群MC(n,r)={α∈MCn: |Im α|≤r}, 得到了半群MC(n,r)的极大子半群的完全分类.
关键词: 单调压缩, 变换半群, 极大子半群
Abstract: Suppose Xn={1,2,…,n}, with the usual order of natural number sequence, MCn was the monotonic compression singular transformation semigroup on Xn. For any 3≤r≤n-1, we considered the semigroup MC(n,r)={α∈MCn: |Im α|≤r}, and obtained the complete classification of the maximal subsemigroups of the semigroup MC(n,r) on Xn.
Key words: maximal subsemigroup, transformation semigroup, monotonic compression
中图分类号:
金久林, 游泰杰. 半群MC(n,r)的极大子半群[J]. 吉林大学学报(理学版), 2017, 55(03): 523-530.
JIN Jiulin, YOU Taijie. Maximal Subsemigroups of Semigroup MC(n,r)[J]. Journal of Jilin University Science Edition, 2017, 55(03): 523-530.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2017/V55/I03/523
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