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On a centre-like subset of a ring without nil ideals
Published online by Cambridge University Press: 17 April 2009
Abstract
We give a new proof of the hypercentre theorem of Herstein.
In [1], Herstein has defined the hypercentre of a ring R as follows:
Herstein has proved:
THEOREM. If R is a ring without non-zero nil ideals, thenT (R) = Z (R).
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- Copyright © Australian Mathematical Society 1986