On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups
In this paper c-system , n-system and complete prime Γ-radical in a Γ-semihypergroup are introduced and studied whiledefinition of m-system has been revised. Maximal Γ-hyperideals are studied and the conditions under which maximal Γ-hyperideals are prime and vice versa are investigated. It is proved...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2019-12-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2620_04e84e1b9018af67c310dbf6a781ee0d.pdf |
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| Summary: | In this paper c-system , n-system and complete prime Γ-radical in a Γ-semihypergroup are introduced and studied whiledefinition of m-system has been revised. Maximal Γ-hyperideals are studied and the conditions under which maximal Γ-hyperideals are prime and vice versa are investigated. It is proved that intersection of distinct maximal Γ-hyperideals in Γ-semihypergroup is non-empty. Relations between completely prime Γ-hyperideals, c-system and complete prime Γ-radicals are examined. |
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| ISSN: | 2251-8436 2322-1666 |