Year: 2020
Type: article
Abstract: Recently, the concept of NeutroAlgebraic and AntiAlgebraic Structures were introduced and analyzed by Florentin Smarandache. His new approach to the study of Neutrosophic Structures presents a more robust tool needed for managing uncertainty, incompleteness, indeterminate and imprecise information. In this paper, we introduce for the first time the concept of NeutroVectorSpaces. Specifically, we study a particular class of the NeutroVectorSpaces called of type 4 S and their elementarily properties are presented. It is shown that the NeutroVectorSpaces of type 4 S may contain NeutroSubspaces of other types and that the intersections of NeutroSubspaces of type 4 S are not NeutroSubspaces. Also, it is shown that if N V is a NeutroVector Space of a particular type and N W is a NeutroSubspace of N V, the NeutroQuotientSpace N V /N W does not necessarily belong to the same type as N V.
Authors: M.A. Ibrahim, A.A.A. Agboola
Institution: Federal University of Agriculture, Abeokuta
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4287664938