On NeutroNilpotentGroups

Journal: Neutrosophic Sets and Systems • • University of New Mexico • ISSN: 2331-6055

Abstract

In this paper, we introduce the notion of commutator of two elements in a specific NeutroGroup. Then we define the notion of a NeutroNilpotentGroup and we study some of their properties. Moreover, we show that the intersection of two NeutroNilpotentGroups is a NeutroNilpotentGroup. Also, we show that the quotient of a NeutroNilpotentGroup is a NeutroNilpotentGroup. Specially, using NeutroHomomorphism we prove the NeutroNilpotentcy is closed with respect to homomorphic image.

Subjects & Keywords

How to Cite this Article

Elahe Mohammadzadeh, Akbar Rezaei (2020). "On NeutroNilpotentGroups". Neutrosophic Sets and Systems. https://doi.org/10.5281/zenodo.4300370