有序半超群上的有序半格等价关系

Q3 Mathematics Quasigroups and Related Systems Pub Date : 2022-05-01 DOI:10.56415/qrs.v30.02

Daengsaen Jukkrit, Leeratanavalee Sorasak

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引用次数: 0

摘要

半格等价关系在研究有序半超群的结构性质中起着重要作用。这种关系可以用超滤波器来表示。（有序）半超群的（有序）超滤子有两个概念，这两个概念是由Tang等人[16]和Kehayoplo[9]引入的。本文证明了这两个概念的一致性，并刻画了序半超群上的最小半格等价关系。此外，我们还研究了序半超群上的半格等价关系和强序正则等价关系之间的关系。最后，我们在序半超群上引入了p-类的概念，并通过这个概念给出了强序正则等价关系的刻画。

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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The ordered semilattice equivalence relations on ordered semihypergroups

The semilattice equivalence relations play an important role in investigating the structural properties of ordered semihypergroups. Such relations can be expressed in terms of hyperfilters. There are two concepts of (ordered) hyperfilters of (ordered) semihypergroups which were introduced by Tang et al. [16] and Kehayopulu[9]. In this paper, we prove that those two concepts coincide and characterize the least semilattice equivalence relations on ordered semihypergroups. Furthermore, we investigate the relationship between the semilattice equivalence relations and the strongly ordered regular equivalence relations on ordered semihypergroups. Finally, we introduce the concept of p-classes-chain on ordered semihypergroups and give the characterization of the strongly ordered regular equivalence relations via such concept.

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