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 ...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.展开更多
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)
文摘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.
基金Foundation item: Supported by NSF of China(10471112) Supported by Shaanxi Provincial Natural Science Foundation(2005A15) Acknowledgement The authors express their gratitude to the referees for very helpful and detailed comments.
文摘那在那里存在,是众所周知的正统 semigroup 上的最小的反的 semigroup 一致。我们在正统 semigroup 上由 Y 表示最小的反的 semigroup 一致。让 S 是战斗逆 semigroup。我们在 S 上构造部分订单由某种它的 subsemigroups 并且揭开 S 上的部分订单在 S/Y 上与部分订单有靠近的接触。