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关于Wrpp半群上的Lawson偏序(英文)
引用本文:刘海军,郭小江. 关于Wrpp半群上的Lawson偏序(英文)[J]. 数学季刊, 2012, 0(1): 139-144
作者姓名:刘海军  郭小江
作者单位:Mathematics and Information Science,Jiangxi Normal University;Chang’an Vocational Senior High School
基金项目: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:
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

The Lawson Partial Order on Wrpp Semigroups
LIU Hai-jun,GUO Xiao-jiang. The Lawson Partial Order on Wrpp Semigroups[J]. Chinese Quarterly Journal of Mathematics, 2012, 0(1): 139-144
Authors:LIU Hai-jun  GUO Xiao-jiang
Affiliation:1 (1.Mathematics and Information Science,Jiangxi Normal University,Nanchang 330022,China;2.Chang’an Vocational Senior High School,Dongguan 523846,China)
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.
Keywords:wrpp semigroup  partial order  compatibility
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