Some Simple Properties of Simple Nil Rings
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 197-200
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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
@article{10_4153_CMB_1966_026_6,
author = {McWorter, W. A.},
title = {Some {Simple} {Properties} of {Simple} {Nil} {Rings}},
journal = {Canadian mathematical bulletin},
pages = {197--200},
year = {1966},
volume = {9},
number = {2},
doi = {10.4153/CMB-1966-026-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-026-6/}
}
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