On Some Prop erties of Neutrosophic Q uadruple Hv -rings

Hyperstructure theory, an 86 years old theory, has been of great interest for many algebraists where
their researches were divided in to two categories: theory and applications. On the other hand, neutrosophic
theory which is the study of neutralities, was introduced and developed by F. Smarandache in 1995 as an
extension of dialectics. The purpose of this paper is to study some connections between the two theories:
Neutrosophy and hyperstructures. In this regard, we define neutrosophic quadruple Hv-rings, neutrosophic
quadruple Hv-subrings, and neutrosophic quadruple homomorphism and study their various properties.