On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups
Publish place: Journal of Hyperstructures، Vol: 8، Issue: 2
Publish Year: 1398
Type: Journal paper
Language: English
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JR_JHSMS-8-2_005
Index date: 5 February 2024
On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups abstract
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.
On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups Keywords:
On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups authors
Ansari Safoora Samreen Jamal Abdul Nasir
Department 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, ۴۲۳ ۱۰۱, M.S., India
Kishor Fakira Pawar
Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, ۴۲۵ ۰۰۱ M.S., India