A Result for Semi Simple Ring

Jameel Ahmad Ansari; Dr.Haresh G Chaudhari

doi:https://doi.org/10.14445/22315373/IJMTT-V65I3P531

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 3 | Year 2019 | Article Id. IJMTT-V65I3P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I3P531

A Result for Semi Simple Ring

Jameel Ahmad Ansari, Dr.Haresh G Chaudhari

Abstract

If for a semi simple ring R, with any elements a,b in R there exist positive integers P=P(a,b) and q=q(a,b) such that [ bab p,(ab)q+(ba)q]=0. then R is commutative.

Keywords

Skew field, Simple ring, Semi simple ring & Primitive ring.

References

[1] QUADRI. M.A and KHAN. M.A; A theorem on commutativity of semisimple rings, soochow Journal of Math. 11 (1985), 97-99.
[2] JACOBSON. N; Structure of rings, Amer. Math. Society, Colloq. Publ. 37, Providence 1964.
[3] HONGAN, M. and TOMINAGA H; Somecommutativity theorem for semiprime rings, Hokkaido Math. J. 10 (1981), 271-277.
[4] McCOY, N. H; Theory of rings, MacMillan Press, New York.

Citation :

Jameel Ahmad Ansari, Dr.Haresh G Chaudhari, "A Result for Semi Simple Ring," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 3, pp. 214-215, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I3P531