An Introduction to NeutroHyperVector Spaces

Abstract

The aim of this paper is to combine the notion of NeutroAlgebra, that includes the partiality and
indeterminacy in the operations and axioms of algebraic structures, with algebraic hyperstructures. In this
regard, a NeutroHyperVector space is introduced and various examples are given. Next, some types of linear
transformations between NeutroHyperVector spaces are presented and some properties of mentioned concepts
are studied. Finally, by giving a suitable field, the Cartesian product of NeutroHyperVector spaces over a
common field is constructed, under certain conditions, and supported by interesting examples.