On weakly semiprime segments of ordered semihypergroups

Ze Gu; Ze Gu

doi:10.3934/math.2021573

AIMS Mathematics

2021, Volume 6, Issue 9: 9882-9885. doi: 10.3934/math.2021573

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Research article

On weakly semiprime segments of ordered semihypergroups

Ze Gu ^,

School of Mathematics and Statistics, Zhaoqing University, Zhaoqing, Guangdong, P.R. China

Received: 05 January 2021 Accepted: 25 June 2021 Published: 30 June 2021
MSC : 06F05, 20N20

In this paper, we introduce the concept of weakly semiprime segments in an ordered semihypergroup and classify weakly semiprime segments of an ordered semihypergroup into four cases which are simple, exceptional, Archimedean and decomposable.
- ordered semihypergroups,
- weakly semiprime hyperideals,
- weakly semiprime segments
Citation: Ze Gu. On weakly semiprime segments of ordered semihypergroups[J]. AIMS Mathematics, 2021, 6(9): 9882-9885. doi: 10.3934/math.2021573

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Abstract

In this paper, we introduce the concept of weakly semiprime segments in an ordered semihypergroup and classify weakly semiprime segments of an ordered semihypergroup into four cases which are simple, exceptional, Archimedean and decomposable.

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