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MONOTONE $\sigma$-COMPLETE RC-GROUPS

Published online by Cambridge University Press:  24 April 2006

DAVID J. FOULIS  and
SYLVIA PULMANNOVÁ
DAVID J. FOULIS
Affiliation:
University of Massachusetts, 1 Sutton Court, Amherst, MA 01002, [email protected]
SYLVIA PULMANNOVÁ
Affiliation:
Mathematical Institute, Slovak Academy of Sciences, štefánikova 49, SK-814 73 Bratislava, [email protected]
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Abstract

An RC-group is a unital group G with a distinguished compression base with respect to which G satisfies the Rickart projection and general comparison properties. We prove that a monotone $\sigma$-complete RC-group is a union of subgroups each of which is a lattice-ordered Dedekind $\sigma$-complete RC-group.

Keywords

06F20 (primary)47A2047A1003G1281P10 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 304 - 324
Copyright
The London Mathematical Society 2006

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