Title of article
On systems, maximal Γ-hyperideals and complete prime Γ-radicals in Γ-semihypergroups
Author/Authors
Jamal Abdul Nasir ، Ansari Safoora Samreen Department of Mathematics - Commerce S.P.H.J. Science College , Fakira Pawar ، Kishor Department of Mathematics - School of Mathematical Sciences - Kavayitri Bahinabai Chaudhari North Maharashtra University
From page
135
To page
149
Abstract
In this paper c-system , n-system and complete prime Gamma;-radical in a Gamma;-semihypergroup are introduced and studied whiledefinition of m-system has been revised. Maximal Gamma;-hyperideals are studied and the conditions under which maximal Gamma;-hyperideals are prime and vice versa are investigated. It is proved that intersection of distinct maximal Gamma;-hyperideals in Gamma;-semihypergroup is non-empty. Relations between completely prime Gamma;-hyperideals, c-system and complete prime Gamma;-radicals are examined.
Keywords
Systems , Γ-semihypergroup , Γ-hyperideal , Γ-radical
Journal title
Journal of Hyperstructures
Journal title
Journal of Hyperstructures
Record number
2774484
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