半群OPPIE*(X)的秩

(X)的秩] 龙伟锋1,2,曾吉文1*,瞿云云2 (1.厦门大学数学科学学院,福建 厦门 361055; 2.贵州师范大学数学科学学院,贵州 贵阳 550001)

保E*关系; 方向保序;

The rank of semi-group OPPIE*(X)
LONG Weifeng1,2,ZENG Jiwen1*,QU Yunyun2

(1.School of Mathematical Sciences,Xiamen University,Xiamen 361005,China; 2.School of Mathematical Sciences,Guizhou Normal University,Guiyang 550001,China)

E*-preserving; preserving orientation; rank

DOI: 10.6043/j.issn.0438-0479.201807030

备注

设X为有限全序集,E为X上的凸等价关系.令OPPIE*(X)为所有E类方向保序变换所构成的半群,得到了OPPIE*(X)的秩.

Let E be a convex equivalence on a finite set X.The semi-group denote by OPPIE*(X) consisting of all orientation-preserving transformations of type E.The rank of OPPIE*(X) is obtained.