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On the Property (PU) for *-Regular Rank Rings

Published online by Cambridge University Press:  20 November 2018

John L. Burke*
Affiliation:
Department of Mathematics, University of Canterbury, Christchurch 1, New Zealand
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In this paper we consider an irreducible *-regular ring with order k for some k≥4. If is also a Baer ring it is a rank ring. Our first result is:

Theorem 1.3. Let be an irreducible *-regular Baer ring with order k for some k≥4. The following are equivalent.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1976

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