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半群OI_n(k)的秩
引用本文:易林,游泰杰,赵平.半群OI_n(k)的秩[J].数学的实践与认识,2017(6):251-255.
作者姓名:易林  游泰杰  赵平
作者单位:贵州师范大学数学科学学院,贵州贵阳,550001
基金项目:国家自然科学基金(11461014)
摘    要:设OI_n是n]上的保序严格部分一一变换半群.对任意1≤k≤n-1,研究半群OI_n(k)={α∈OI_n:(■x∈dom(α))x≤k■xα≤k}的秩,证明了半群OI_n(k)的秩为n+1.

关 键 词:变换半群  保序  

Ranks of the Semigroup (O)In(k)
YI Lin,YOU Tai-jie,ZHAO Ping.Ranks of the Semigroup (O)In(k)[J].Mathematics in Practice and Theory,2017(6):251-255.
Authors:YI Lin  YOU Tai-jie  ZHAO Ping
Abstract:Let (O)In be the order-preserving injective partial transformation semigroup on n].For an arbitrary integer k such that 1 ≤ k ≤ n-1,the rank of the semigroup (O)In(k) ={α ∈ (O)In:((A)x ∈ dom(α)) x ≤ k (→) xα ≤ k} were studied.We show that the rank of semigroup (O)In(k) is equal to n + 1.
Keywords:transformation semigroup  order-preserving  rank
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