References

CENTRIFIERS AND RING COMMUTATIVITY


[1] G. Birkhoff, On the structure of abstract algebras, Proc. Cambridge Philos. Soc. 31 (1935), 433-454.

[2] A. Forsythe and N. H. McCoy, On the commutativity of certain rings, Bull. Amer. Math. Soc. 52 (1946), 523-526.

[3] J. W. L. Glaisher, On the residue of a binomial-theorem coefficient with respect to a prime modulus, Quart. J. Pure Appl. Math. 30 (1899), 150-156.

[4] I. N. Herstein, A generalization of a theorem of Jacobson III, Amer. J. Math. 75 (1953), 105-111.

[5] I. N. Herstein, The structure of a certain class of rings, Amer. J. Math. 75 (1953), 864-871.

[6] E. Kummer, Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen, J. Reine Angew. Math. 44 (1852), 93-146.

[7] D. MacHale, Rings that are nearly Boolean I, Proc. Roy. Irish Acad. Sect. A 80 (1980), 41-46.

[8] D. MacHale, Rings that are nearly Boolean II, Proc. Roy. Irish Acad. Sect. A 83 (1983), 165-167.

[9] D. MacHale, Rings that are nearly Boolean III, Proc. Roy. Irish Acad. Sect. A 86 (1986), 165-167.

[10] Y. Morita, Elementary proofs of the commutativity of rings satisfying Memoirs Def. Acad. Jap. 18 (1978), 1-23.

[11] T. Ramsamujh, Equational Logic and Abstract Algebra.
http://sections.maa.org/florida/proceedings/2001/ra msamujh.pdf