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Two Remarks On The Commutativity Of Rings

Published online by Cambridge University Press:  20 November 2018

I. N. Herstein*
Affiliation:
University of Pennsylvania
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In (1) and (2) we proved that under certain conditions a given ring R must be commutative. The conditions used there were “global” in the sense that they were imposed at once on the relation of a given element to all the other elements of the ring R.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Herstein., I. N.A Theorem on Rings,” Can. J. Math., 5 (1953), 238–241.Google Scholar
2. Herstein., I. N., “A Generalization of a Theorem of Jacobson III,” Amer. J. Math., 75 (1953), 105–111.Google Scholar
3. Herstein., I. N., “The Structure of a Certain Class of Rings,” Amer. J. Math., 75 (1953), 864–871.Google Scholar