On general n-ary hyperstructure semilattices

In this paper, the n-ary hyperstructure will be applied to some aspects of lattice theory. We introduce the concepts of general n-ary hyperstructure semilattice ( or gnh-semilattice) and Gnh-subsemilattice, ideal of gnh-semilattice, gno-order, Gnoorder, multiplier of type α on gnh-semilattice, F-quasi invariant subset of gnh-semilattice and so on. We also study some of their related properties.

Keywords:

gnh-semilattice , Gno-order , multiplier of type α on gnhsemilattice