附接有序超群的最大元

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI:10.55730/1300-0098.3452

NIOVI KEHAYOPULU

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引用次数: 0

摘要

作为Turk J Math 2022论文“超移民群的附加恒等式”的延续;46(7): 2834—2853，本文证明了最大元与有序超群的共轭实际上是一个嵌入问题。引入了伪理想的概念，并证明了对于每一个有序超移民群$S$，一个具有最大元($poe$-超移民群)的有序超移民群$V$可以构造成$S$的伪理想$T$，使得$S$与$T$同构。如果$S$没有最大元，则这可以看作是在一个有最大元的有序半群中嵌入了一个有序超群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Adjunction greatest element to ordered hypersemigroups

As a continuation of the paper "Adjunction Identity to Hypersemigroup" in Turk J Math 2022; 46 (7): 2834--2853, it has been proved here that the adjunction of a greatest element to an ordered hypersemigroup is actually an embedding problem. The concept of pseudoideal has been introduced and has been proved that for each ordered hypersemigroup $S$ an ordered hypersemigroup $V$ having a greatest element ($poe$-hypersemigroup) can be constructed in such a way that there exists a pseudoideal $T$ of $S$ such that $S$ is isomorphic to $T$. If $S$ does not have a greatest element, then this can be regarded as the embedding of an ordered hypersemigroup in an ordered semigroup with greatest element.

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.