A note on archimedean ordered semigroups

被引：2
|
作者：
Kehayopulu, Niovi [1 ]
机构：
[1] Univ Athens, Dept Math, Panepistimiopolis 15784, Greece
来源：
ALGEBRA UNIVERSALIS | 2018年 / 79卷 / 02期
关键词：
Ordered semigroup; Ideal; Archimedean; Nil; Simple; Intra-regular; pi-intra-regular; Rees quotient; Nil extension; EXTENSIONS;
D O I：
10.1007/s00012-018-0502-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the ordered semigroups that are archimedean and contain an intra-regular element, showing that they are exactly nil extensions of simple ordered semigroups, also the ordered semigroups that are both archimedean and pi-semisimple or both archimedean and pi-quasi-semisimple.
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页数：8
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