Left strongly archimedean ordered semigroups

被引：0
|
作者：
Niovi Kehayopulu
Michael Tsingelis
机构：
[1] University of Athens,Department of Mathematics
[2] Hellenic Open University,School of Science and Technology, Studies in Natural Sciences
来源：
Semigroup Forum | 2015年 / 91卷
关键词：
Left quasi ; -regular; Intra ; -regular; Archimedean; Left strongly archimedean; Left strongly simple; Nil extension;
D O I：
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学科分类号：
摘要：
We prove that if an ordered semigroup is a nil extension of a left strongly simple ordered semigroup, then it is left strongly archimedean, but, in contrast to the unordered case, the converse does not hold in general. However, a left strongly archimedean ordered semigroup is a nil extension of a simple ordered semigroup.
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页码：731 / 736
页数：5
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