Introduction to NeutroGroups

Journal Title: International Journal of Neutrosophic Science (IJNS) - Year 2020, Vol 6, Issue 1

Abstract

The objective of this paper is to formally present the concept of NeutroGroups by considering three NeutroAxioms (NeutroAssociativity, existence of NeutroNeutral element and existence of NeutroInverse element). Several interesting results and examples of NeutroGroups, NeutroSubgroups, NeutroCyclicGroups, NeutroQuotientGroups and NeutroGroupHomomorphisms are presented. It is shown that generally, Lagrange’s theorem and 1st isomorphism theorem of the classical groups do not hold in the class of NeutroGroups.

Authors and Affiliations

Agboola A. A. A.

Keywords

Related Articles

Neutrosophy for physiological data compression: in particular by neural nets using deep learning

We would like to show the small distance in neutropsophy applications in sciences and humanities, has both finally consider as a terminal user a human. The pace of data production continues to grow, leading to increased...

Dominating Energy in Neutrosophic graphs

Dominating energy of graphs plays a vital role in the field of application in energy. Results by applying neutrosophic graph theory is more efficient than other existing methods. So, dominating energy of neutrosophic gra...

AH-Subspaces in Neutrosophic Vector Spaces

In this paper, we introduce the concept of AH-subspace of a neutrosophic vector space and AHS-linear transformations. We study elementary properties of these concepts such as Kernel, AH-Quotient, and dimension.

Application of the neutrosophic system to tax havens with a criminal approach

The investigation questions transparency (legitimacy) on the one hand and tax evasion (illegality) at tax haven on the other, so this paper the highlights importance of tax havens, either to the detriment of economies su...

Refined Neutrosophic Rings II

This paper is the continuation of the work started in the paper titled “Refined Neutrosophic Rings I”. In the present paper, we study refined neutrosophic ideals and refined neutrosophic homomorphisms along their elementary...

Download PDF file
  • EP ID EP683458
  • DOI -
  • Views 618
  • Downloads 0

How To Cite

Agboola A. A. A. (2020). Introduction to NeutroGroups. International Journal of Neutrosophic Science (IJNS), 6(1), -. https://www.europub.co.uk/articles/-A-683458