Right alternative rings, satisfying the weakly M-ring identity (w,xy,z) = x(w,y,z) are studied. Any one of the following additional assumptions imply associativity: semi prime and a finite number of generators: prime with char. ≠ 2 and minimum condition on either right ideals or on trivial left ideals, or simple and char. ≠ 2.
The Bulletin of Society for Mathematical Services and Standards (Volume 6)
K. Jayalakshmi and C. Manjula, "On Semiprime Finitely Generated Right Alternative Weakly M-Rings", The Bulletin of Society for Mathematical Services and Standards, Vol. 6, pp. 9-12, 2013