Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 139-144.

Previous Articles     Next Articles

The Lawson Partial Order on Wrpp Semigroups

  

  1. 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)

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

CLC Number: