ON HYPERIDEALS OF ORDERED SEMIHYPERGROUPS
Keywords:
ordered semihypergroups, hyperideals, semisimple ordered semihypergroups, intra-regular ordered semihypergroupsAbstract
Prime, weakly prime and semiprime hyperideals in ordered semihypergroups were studied by Kehayopulu. In this paper, we introduce the concepts of weakly semiprime and irreducible hyperideals in ordered semihypergroups. The relationship between the five classes of hyperideals is established. Finally, we characterize semisimple ordered semihypergroups and intra-regular ordered semihypergroups in terms of these hyperideals.
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Published
2018-07-31
How to Cite
Gu, Z. (2018). ON HYPERIDEALS OF ORDERED SEMIHYPERGROUPS. Italian Journal of Pure and Applied Mathematics, 40, 692–698. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6971
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Articoli - Forum Editrice
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Copyright (c) 2018 Ze Gu
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
