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On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups | ||
| Journal of Hyperstructures | ||
| دوره 8، شماره 2، اسفند 2019، صفحه 135-149 اصل مقاله (127.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2019.2620 | ||
| نویسندگان | ||
| Ansari Safoora Samreen Jamal Abdul Nasir* 1؛ Kishor Fakira Pawar2 | ||
| 1Department 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., India | ||
| 2Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, 425 001 M.S., India | ||
| چکیده | ||
| In this paper c-system , n-system and complete prime Γ-radical in a Γ-semihypergroup are introduced and studied while definition 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. | ||
| کلیدواژه‌ها | ||
| Systems؛ Γ-semihypergroup؛ Γ-hyperideal؛ Γ-radical | ||
| مراجع | ||
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