Ordered semigroups whose elements are separated by prime ideals

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• 作者：Niovi Kehayopulu (1) nkehayop@math.uoa.gr
• 关键词：ideal in an ordered semigroup &#8211 ; prime (semiprime) subset &#8211 ; intra ; regular (regular) semigroup &#8211 ; intra ; regular (regular) ordered semigroup &#8211 ; elements separated by prime ideals &#8211 ; idempotent element &#8211 ; idempotent ordered sem
• 刊名：Mathematica Slovaca
• 出版时间：June 2012
• 出版年：2012
• 期刊代码：pc600_0139-9918
• 类别：mat
• 卷：62
• 期：3
• 页码：417-424
• 数据来源：sp

摘要

In this paper we add one more characterization of intra-regular ordered semigroups in the existing bibliography by proving that the ordered semigroups whose elements are separated by prime ideals are actually the intra-regular ordered semigroups, a result which generalizes the corresponding result of semigroups (without order).