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Completions of Rank Rings

Published online by Cambridge University Press:  20 November 2018

David Handelman
David Handelman*
Affiliation:
Dept. of Mathematics, Mcgill UniversityP.O. Box 6070, Stn. A Montreal, P.Q. Canada H3C 3G1
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In this note, we prove three results on regular rings possessing a rank function: (a) the completion of a *-regular rank ring is a regular Baer *-ring; (b) (a) is used to construct regular Baer * factors of type IIf with centre any complex subfield closed under conjugation; (c) the units of a unit-regular rank ring form a dense topological subgroup of the units of the completion.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 2 , 01 June 1977 , pp. 199 - 205
Copyright
Copyright © Canadian Mathematical Society 1977

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