Some Results on Commutativity for Alternative Rings With 2, 3-Torsion Free.

Authors

  • Abubakar Salisu Department of Transport, Planning and Management, Federal polytechnic Daura Katsina State. Nigeria.
  • Mustapha Mannir Gafai Department of Mathematics and Statistics Umaru Musa Yar’adua University Katsina. Nigeria.
  • Shu’aibu Salisu Department of computer science federal polytechnic Daura Katsina state. Nigeria.

DOI:

https://doi.org/10.58496/BJM/2024/005

Keywords:

Alternative ring , m-torsion free , assosymetric ring, commutator, Centre , prime rings

Abstract

ABSTRACT

In this article, we establish and proof some theorem on commutativity of alternative ring with 2, 3 –torsion free satisfy the following properties (Identities): 

  (P1)  [x2y2+y2x2,x]=0

(p2)  [x(xy)2+(xy)2x,x]=0

(p3)   [x(x2y2),x]=0

(p4)    [x(xy),x]=0                for every x,y in R.

Keywords: .

Downloads

Download data is not yet available.

Downloads

Published

2024-03-25

How to Cite

Salisu, A., Gafai , M. M., & Salisu , S. (2024). Some Results on Commutativity for Alternative Rings With 2, 3-Torsion Free. Babylonian Journal of Mathematics, 2024, 44–47. https://doi.org/10.58496/BJM/2024/005
CITATION
DOI: 10.58496/BJM/2024/005
Published: 2024-03-25

Issue

Vol. 2024 (2024)

Section

Articles