方向保序或反方向保序变换半群I(n,r)的极大正则子半群

J4 ›› 2011, Vol. 46 ›› Issue (12): 60-65.

方向保序或反方向保序变换半群I(n,r)的极大正则子半群

赵平¹,胡华碧¹,徐波²

1.贵阳医学院基础学院, 贵州贵阳 550004; 2. 贵州师范大学数学与计算机科学学院, 贵州贵阳 550001

收稿日期:2010-11-04 出版日期:2011-12-20 发布日期:2011-12-24
作者简介:赵平(1973- ), 男, 硕士研究生, 副教授, 研究方向为半群理论及编码理论. Email: zhaoping731108@163.com
基金资助:
贵州省科学技术基金项目(黔科合［2010］3174)

Maximal regular subsemigroups of orientation-preserving or orientation-reserving transformation semigroups I(n，r)

ZHAO Ping¹, HU hua-bi¹, XU Bo²

1. School of Basic Medicine, Guiyang Medical College, Guiyang 550004, Guizhou, China;
2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou, China

Received:2010-11-04 Online:2011-12-20 Published:2011-12-24

摘要/Abstract

摘要：

设Pn是［n］上的方向保序或反方向保序变换半群, 得到了半群 I(n,r)=｛α∈Pn:|im(α)|≤r｝(3≤r≤n-1)的极大正则子半群的完全分类。

关键词: 变换半群;方向保序变换半群;方向保序或反保序变换半群;极大正则子半群

Abstract:

Let Pn be the orientation-preserving or orientation-reserving transformation semigroup on ［n］, and let I(n,r)=｛α∈Pn:|im(α)|≤r｝(3≤r≤n-1). The classification of maximal regular subsemigroup of semigroup is obtained completely.

Key words: transformation semigroup; orientation-preserving transformation semigroup; orientation-preserving or orientation-reserving transformation semigroup; maximal regular subsemigroup

赵平1,胡华碧1,徐波2. 方向保序或反方向保序变换半群I(n,r)的极大正则子半群[J]. J4, 2011, 46(12): 60-65.

ZHAO Ping1, HU hua-bi1, XU Bo2. Maximal regular subsemigroups of orientation-preserving or orientation-reserving transformation semigroups I(n，r)[J]. J4, 2011, 46(12): 60-65.

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