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Rings all of Whose Pierce Stalks are Local

Published online by Cambridge University Press:  20 November 2018

W. D. Burgess  and
W. Stephenson
W. D. Burgess
Affiliation:
Department of Mathematics, Faculty of Science and Engineering, University of Ottawa, Ottawa, Canada, K1N 6N5
W. Stephenson
Affiliation:
Bedford College, Regents Park, LondonNW1 4Ns, U.K.
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The aim of this paper is to give a number of characterizations of the rings of the title. In particular, these turn out to be precisely those exchange rings whose idempotents are all central. They are also those rings in which every element is the sum of a unit and a central idempotent.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 2 , 01 June 1979 , pp. 159 - 164
Copyright
Copyright © Canadian Mathematical Society 1979

References

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