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半群Hn的每个星理想的秩和幂等元秩

, PP. 58-61

Keywords: 保降序,保序,奇异变换半群,秩和幂等元秩,相关秩

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Abstract:

设Hn是自然序集Xn={1,2,3,…,n}(n≥3)上的保降序且保序有限奇异变换半群,记H(n,r)={α∈Hn|Imα|≤r}为半群Hn的双边星理想.对1≤r≤n-1,刻划了H(n,r)是由秩为r的幂等元生成的且它的秩和幂等元秩都等于Cr-1n-1.进一步证明了当l=r时,r(H(n,r),H(n,l))=0且当1≤l

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