On NeutroNilpotentGroups

Authors

  • Elahe Mohammadzadeh
  • Akbar Rezaei

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.

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Published

2020-12-03

Issue

Vol. 38 (2020): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Elahe Mohammadzadeh, & Akbar Rezaei. (2020). On NeutroNilpotentGroups. Neutrosophic Sets and Systems, 38, 33-40. https://fs.unm.edu/nss8/index.php/111/article/view/4170