On poset of subhypergroup and hyper lattices
A. D. Lokhande, Aryani Gangadhara · International Journal of Contemporary Mathematical Sciences · 2013
In this Paper we have described the Poset of Sub(H) for remarkable classes such as rotary closed subhypergroups of Permutation group related to open problem given in [3] .Also we Prove that Syme(G) is a hyper group. We prove some necessary and sufficient condition for Poset of subhypergroup to be a hypersemilattice .Also we prove that Sub (G) is coincide with the lattice subgroup of hypergroup of permutation group .Finally we prove Principal Filter is hyper lattice. Mathematics Subject Classifications: Primary -20N20, Secondary-06A11