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The Lawson Partial Order on Wrpp Semigroups 被引量:1

The Lawson Partial Order on Wrpp Semigroups
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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. 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.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期139-144,共6页 数学季刊(英文版)
基金 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)
关键词 wrpp semigroup partial order compatibility wrpp semigroup; partial order; compatibility
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  • 1Armstrong S. Structure of concordant semigroups [J]. J. Algebra, 1988, 118: 205-260.
  • 2Blyth T S, Gomes, G M S. On the compability of the natural order on a regular semigroup [J]. Proc. Roy.Soc. Edinburgh, 1983, 94A:79-84.
  • 3El-Qallali A, Fountain J B. Idempotent-connected abundant semigroups [J]. Proc. Roy. Soc. Edinburgh,1981, 91A: 79-90.
  • 4Fountain J B. Abundant semigroups [J]. Proc. London Math. Soc., 1982, 44(3): 103-129.
  • 5Hall T 1E. Some properties of local subsemigroups inherted by larger subsemigroups [J]. Semigroup Forum,1982, 25: 35-49.
  • 6Howie J M. An Introduction to Semigroup Theory [M]. London: Academic Press. 1976.
  • 7Lawson M V. The natural partial orders on an abundant semigroup [J]. Proc. Edinburgh Math. Soc., 1987,30: 169-186.
  • 8Nambooripad K S S. The natural partial order on a regular semigroup [J]. Proc. Edinburgh Math. Soc.,1980, 23: 249-260.
  • 9Petrich M. Lecture in Semigroups [M]. London: Wiley. 1977.

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