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Completions of Rank Rings
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1977
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