University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 5 1 2016 06 01 On general n-ary hyperstructure semilattices 1 16 2608 10.22098/jhs.2016.2608 EN Akbar Dehghan Nezhad School of Mathematics, Iran University of Science and Technology, P.O.Box 16846 -13114, Tehran, Iran Najmeh Khajuee Department of Mathematics, Shahid Bahonar University of Kerman, P.O.Box 76169- 133, Kerman, Iran Journal Article 2015 01 19  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. https://jhs.uma.ac.ir/article_2608_d18f5f6a5bc97b9e811475634c63fb21.pdf