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Journal of the London Mathematical Society 2006 73(2):304-324; doi:10.1112/S002461070602271X
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© The London Mathematical Society

Monotone {sigma}-Complete RC-Groups

David J. Foulis and Sylvia Pulmannová

University of Massachusetts 1 Sutton Court, Amherst, MA 01002, USA foulis{at}math.umass.edu
Mathematical Institute, Slovak Academy of Sciences Stefánikova 49, SK-814 73 Bratislava, Slovakia pulmann{at}mat.savba.sk

Received 26 January 2005. Revision received 2 August 2005.

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.


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