On Hybrid Pure Hyperideals in Ordered Hypersemigroups
In this paper, the concepts of hybrid pure hyperideals in ordered hypersemigroups are introduced and some algebraic properties of hybrid pure hyperideals are studied. We characterize weakly regular ordered hypersemigroups in terms of hybrid pure hyperideals. Finally, we introduce the concepts of hyb...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-05-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2754 |
| _version_ | 1797795981566148608 |
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| author | Hataikhan Sanpan Pongsakorn Kitpratyakul Somsak Lekkoksung |
| author_facet | Hataikhan Sanpan Pongsakorn Kitpratyakul Somsak Lekkoksung |
| author_sort | Hataikhan Sanpan |
| collection | DOAJ |
| description | In this paper, the concepts of hybrid pure hyperideals in ordered hypersemigroups are introduced and some algebraic properties of hybrid pure hyperideals are studied. We characterize weakly regular ordered hypersemigroups in terms of hybrid pure hyperideals. Finally, we introduce the concepts of hybrid weakly pure hyperideals and prove that the hybrid hyperideals are hybrid weakly pure hyperideals if such hybrid hyperideals satisfy the idempotent property. |
| first_indexed | 2024-03-13T03:26:15Z |
| format | Article |
| id | doaj.art-6396ecbe182c45eb83c82e86e3d7926a |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-03-13T03:26:15Z |
| publishDate | 2023-05-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-6396ecbe182c45eb83c82e86e3d7926a2023-06-25T06:29:46ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-05-0121474710.28924/2291-8639-21-2023-472139On Hybrid Pure Hyperideals in Ordered HypersemigroupsHataikhan SanpanPongsakorn KitpratyakulSomsak LekkoksungIn this paper, the concepts of hybrid pure hyperideals in ordered hypersemigroups are introduced and some algebraic properties of hybrid pure hyperideals are studied. We characterize weakly regular ordered hypersemigroups in terms of hybrid pure hyperideals. Finally, we introduce the concepts of hybrid weakly pure hyperideals and prove that the hybrid hyperideals are hybrid weakly pure hyperideals if such hybrid hyperideals satisfy the idempotent property.http://etamaths.com/index.php/ijaa/article/view/2754 |
| spellingShingle | Hataikhan Sanpan Pongsakorn Kitpratyakul Somsak Lekkoksung On Hybrid Pure Hyperideals in Ordered Hypersemigroups International Journal of Analysis and Applications |
| title | On Hybrid Pure Hyperideals in Ordered Hypersemigroups |
| title_full | On Hybrid Pure Hyperideals in Ordered Hypersemigroups |
| title_fullStr | On Hybrid Pure Hyperideals in Ordered Hypersemigroups |
| title_full_unstemmed | On Hybrid Pure Hyperideals in Ordered Hypersemigroups |
| title_short | On Hybrid Pure Hyperideals in Ordered Hypersemigroups |
| title_sort | on hybrid pure hyperideals in ordered hypersemigroups |
| url | http://etamaths.com/index.php/ijaa/article/view/2754 |
| work_keys_str_mv | AT hataikhansanpan onhybridpurehyperidealsinorderedhypersemigroups AT pongsakornkitpratyakul onhybridpurehyperidealsinorderedhypersemigroups AT somsaklekkoksung onhybridpurehyperidealsinorderedhypersemigroups |