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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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2019-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2620_04e84e1b9018af67c310dbf6a781ee0d.pdf |
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| author | Ansari Safoora Samreen Jamal Abdul Nasir Kishor Fakira Pawar |
| author_facet | Ansari Safoora Samreen Jamal Abdul Nasir Kishor Fakira Pawar |
| author_sort | Ansari Safoora Samreen Jamal Abdul Nasir |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-32ca72859cb4422496f5ade2dad2dc82 |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-32ca72859cb4422496f5ade2dad2dc822025-08-20T02:41:32ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662019-12-018213514910.22098/jhs.2019.26202620On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroupsAnsari Safoora Samreen Jamal Abdul Nasir0Kishor Fakira Pawar1Department of Mathematics, S.N.J.B.’s K.K.H.A. Arts, S.M.G.L. Commerce & S.P.H.J. Science College, Chandwad, District Nashik, 423 101, M.S., IndiaDepartment of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, 425 001 M.S., IndiaIn 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.https://jhs.uma.ac.ir/article_2620_04e84e1b9018af67c310dbf6a781ee0d.pdfsystemsγ-semihypergroupγ-hyperidealγ-radical |
| spellingShingle | Ansari Safoora Samreen Jamal Abdul Nasir Kishor Fakira Pawar On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups Journal of Hyperstructures systems γ-semihypergroup γ-hyperideal γ-radical |
| title | On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups |
| title_full | On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups |
| title_fullStr | On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups |
| title_full_unstemmed | On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups |
| title_short | On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups |
| title_sort | on systems maximal γ hyperideals and complete prime γ radicals in γ semihypergroups |
| topic | systems γ-semihypergroup γ-hyperideal γ-radical |
| url | https://jhs.uma.ac.ir/article_2620_04e84e1b9018af67c310dbf6a781ee0d.pdf |
| work_keys_str_mv | AT ansarisafoorasamreenjamalabdulnasir onsystemsmaximalghyperidealsandcompleteprimegradicalsingsemihypergroups AT kishorfakirapawar onsystemsmaximalghyperidealsandcompleteprimegradicalsingsemihypergroups |