Some Applications of Free Group

Majid ABED; Hekmat MUSTAFA

Article Details

Some Applications of Free Group

Authors:

Majid ABED | Hekmat MUSTAFA

Publisher:

Ahmet ŞAHİNER

Main Topics:

Mathematics

Journal:

Journal of Multidisciplinary Modeling and Optimization 2020 Vol.3 Issue 1, pp.27-34

Document Type:

Article

Publication Date:

9/2020

Document Language:

English

Document ID (Org No.):

2000743107

Frequency:

Bi-Annual

eISSN:

2645-923X

Abstract:

 

In this paper, we study many concepts as applications of free group, for example, presentation, rank of free group, and inverse of free group. We discussed some results about presentation concept and related it with free group. The our main result about free rank, is if G is a group, then G is free rank n if and only if G≅Zn. Also we obtained a new fact about inverse semigroup which say there is no free inverse semigroup is finitely generated as a semigroup. Moreover, we studied some results of inverse of free semigroup, These were illustrated by formulating Theorems, Lemma, Corollaries, and all of these concepts were explained through detailed examples.

Article Details

Some Applications of Free Group

Authors: Majid ABED | Hekmat MUSTAFA

Publisher: Ahmet ŞAHİNER

Main Topics: Mathematics

Journal: Journal of Multidisciplinary Modeling and Optimization 2020 Vol.3 Issue 1, pp.27-34

Document Type: Article

Publication Date: 9/2020

Document Language: English

Document ID (Org No.): 2000743107

Frequency: Bi-Annual

eISSN: 2645-923X

Issues

Authors:

Majid ABED | Hekmat MUSTAFA

Publisher:

Ahmet ŞAHİNER

Main Topics:

Mathematics

Journal:

Journal of Multidisciplinary Modeling and Optimization 2020 Vol.3 Issue 1, pp.27-34

Document Type:

Article

Publication Date:

9/2020

Document Language:

English

Document ID (Org No.):

2000743107

Frequency:

Bi-Annual

eISSN:

2645-923X