Geodesic
Some Simple Properties of Simple Nil Rings
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 197-200

Voir la notice de l'article provenant de la source Cambridge University Press

An outstanding unsolved problem in the theory of rings is the existence or non-existence of a simple nil ring. Such a ring cannot be locally nilpotent as is well known [ 5 ]. Hence, if a simple nil ring were to exist, it would follow that there exists a finitely generated nil ring which is not nilpotent. This seemed an unlikely situation until the appearance of Golod's paper [ 1 ] where a finitely generated, non-nilpotent ring is constructed for any d ≥ 2 generators over any field. 
McWorter, W. A. Some Simple Properties of Simple Nil Rings. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 197-200. doi: 10.4153/CMB-1966-026-6
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[1] 1. Golod, E.S., On Nil Algebras and Finitely Approximabie p-Groups, (Russian), Izv. Akad. Nauk. SSSR Ser. Mat. vol. 28, (1964), 273-276. Google Scholar

[2] 2. Herstein, I.N. and Lance, Small, Nil Rings Satisfying Certain Chain Conditions, Canad. J. Math. vol. 16, (1964), 771-776. Google Scholar

[3] 3. Otto, Kegel, On Rings That Are Sums of two suorings, Journal of Algebra, vol 1 (1964), 103-109. Google Scholar

[4] 4. Jacob, Levitzki, On Nil Subrings, Israel J. Math. vol. 1, (1963), 215-216. Google Scholar

[5] 5. Szasz, F., Bemerkung liber Rechtesockel und Nilrings, Monatsh. Math. vol. 67, (1963), 359-362. Google Scholar

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