关于保序压缩奇异变换半群的秩

J4 ›› 2011, Vol. 46 ›› Issue (6): 4-7.

高荣海1,2,徐波1

GAO Rong-hai1,2, XU Bo1

1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou, China;
2. Editorial Department of Journal, Guizhou Normal University, Guiyang 550001, Guizhou, China

摘要：

设X_n=｛1,2,…,n｝(n≥4)是一个自然序集,W_n是X_n 的保序压缩奇异变换半群,K*(n,r)=｛α∈W_n:|imα|≤r｝(1≤r≤n-1)是Wn的理想,证明了当r=1时,rank(K*(n,r))=n; 当r>1时, rank(K*(n,r))=C ^r-1_n-1。

关键词: 保序; 压缩; 奇异变换半群; 秩

Key words: order-preserving; compression; singular transformation semigroup; rank

高荣海1,2,徐波1. 关于保序压缩奇异变换半群的秩[J]. J4, 2011, 46(6): 4-7.

GAO Rong-hai1,2, XU Bo1. On the rank of order-preserving and compressing singular
transformation semigroups[J]. J4, 2011, 46(6): 4-7.

Viewed

Full text

Abstract

Cited

Shared

Discussed

PDF (PC)