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

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Published: 2024-03-25
DOI: https://doi.org/10.58496/BJM/2024/005
Keywords:
Alternative ring , m-torsion free , assosymetric ring, commutator, Centre , prime rings

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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.

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: .

Article Details

Issue

Vol. 2024 (2024)

Section

Articles

How to Cite

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