On NeutroNilpotentGroups
E. Mohammadzadeh, Akbar Rezae · UNM’s Digital Repository (University of New Mexico) · 2020
In this paper, we introduce the notion of commutator of two elements in a specic NeutroGroup. Then we dene 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.