Geodesic
Nil Rings Satisfying Certain Chain Conditions: An Addendum
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 300-302

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

We prove here a result closely related both in spirit and technique to those obtained in our paper (1). We also take this opportunity to present a counter example, due to E. Sąsiada, to the conjecture we made there. Finally, we extend a result of Wedderburn (3) from algebras over fields to algebras over commutative rings; the result follows easily from the paper by Posner (2) although it does not appear there explicitly. 
Herstein, I. N.; Small, Lance. Nil Rings Satisfying Certain Chain Conditions: An Addendum. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 300-302. doi: 10.4153/CJM-1966-032-1
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[1] 1. Herstein, I. N. and Small, Lance, Nil rings satisfying certain chain conditions, Can. J. Math., 16,(1964), 771–776. Google Scholar

[2] 2. Posner, E., Prime rings satisfying polynomial identities, Proc. Amer. Math. Soc., 11 (1962), 180–184. Google Scholar

[3] 3. Wedderburn, J. H. M.. Note on algebras, Ann. of Math., 38 (1937), 854–856. Google Scholar

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