关于Wrpp半群上的Lawson偏序

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 139-144.

关于Wrpp半群上的Lawson偏序

1. Mathematics and Information Science, Jiangxi Normal University 2. Chang'an Vocational Senior High School

收稿日期:2010-10-11 出版日期:2012-03-30 发布日期:2023-04-07
作者简介:LIU Hai-jun(1981-), male, native of Weinan, Shaanxi, M.S.D., engages in semigroup theory; GUO Xiao-jiang(1967-), male, native of Yichun, Jiangxi, a professor of Jiangxi Normal University, Ph.D., engages in the algebraic theory of semigroup.
基金资助:
Supported by the NNSF of China(10961014)； Supported by the NSF of Jiangxi Province(2008GZ048)； Supported by the SF of Education Department of Jiangxi Province(GJJZ[2007]134)

The Lawson Partial Order on Wrpp Semigroups

1. Mathematics and Information Science, Jiangxi Normal University 2. Chang'an Vocational Senior High School

Received:2010-10-11 Online:2012-03-30 Published:2023-04-07
About author:LIU Hai-jun(1981-), male, native of Weinan, Shaanxi, M.S.D., engages in semigroup theory; GUO Xiao-jiang(1967-), male, native of Yichun, Jiangxi, a professor of Jiangxi Normal University, Ph.D., engages in the algebraic theory of semigroup.
Supported by:
Supported by the NNSF of China(10961014)； Supported by the NSF of Jiangxi Province(2008GZ048)； Supported by the SF of Education Department of Jiangxi Province(GJJZ[2007]134)

摘要/Abstract

摘要： In this paper, we introduce Lawson partial order ≤w on wrpp semigroups. After obtaining some properties of ≤w, we determine when ≤w is (left; right) compatible with the multiplication. These results extend and enrich the related results of Lawson and GuoLuo on abundant semigroups, of Guo-Shum on rpp semigroups and of Liu-Guo on wrpp semigroups.

关键词: wrpp semigroup, partial order, compatibility

Abstract: In this paper,we introduce Lawson partial order ≤w on wrpp semigroups. After obtaining some properties of ≤w, we determine when ≤w is (left; right) compatible with the multiplication. These results extend and enrich the related results of Lawson and GuoLuo on abundant semigroups, of Guo-Shum on rpp semigroups and of Liu-Guo on wrpp semigroups.

Key words: wrpp semigroup, partial order, compatibility

中图分类号:

O152.7

刘海军, 郭小江. 关于Wrpp半群上的Lawson偏序[J]. 数学季刊, 2012, 27(1): 139-144.

LIU Hai-jun, GUO Xiao-jiang. The Lawson Partial Order on Wrpp Semigroups[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 139-144.

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