On Ordered rpp Semigroups with Max-idempotents  

作　　者：Xiaojiang Guo Chenchen Ren K.P. Shum 

机构地区：[1]Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, China [2]Institute of Mathematics, Yunnan University, Kunming, Yunnan 650091, China

出　　处：《Algebra Colloquium》2015年第1期11-22,共12页代数集刊（英文版）

摘　　要：In this paper, we establish a structure theorem of naturally ordered rpp semigroups with max-idempotents. Results on naturally ordered semigroups with max- idempotents in the literature are extended and amplified. Some previous results obtained by Blyth, McFadden, Cuo and Xie on regular and abundant ordered semigroups are ex- tended to ordered roo semigrouos.In this paper, we establish a structure theorem of naturally ordered rpp semigroups with max-idempotents. Results on naturally ordered semigroups with max- idempotents in the literature are extended and amplified. Some previous results obtained by Blyth, McFadden, Cuo and Xie on regular and abundant ordered semigroups are ex- tended to ordered roo semigrouos.

关 键 词：naturally ordered semigroup rpp semigroup greatest inverse maximal idem-potent 

分 类 号：O152.7[理学—数学] O614.121[理学—基础数学]