Monotone {sigma}-Complete RC-Groups |
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| Authors: | Foulis David J; Pulmannova Sylvia |
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| Institution: | University of Massachusetts 1 Sutton Court, Amherst, MA 01002, USA foulis{at}math.umass.edu
Mathematical Institute, Slovak Academy of Sciences  tefánikova 49, SK-814 73 Bratislava, Slovakia pulmann{at}mat.savba.sk |
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| Abstract: | An RC-group is a unital group G with a distinguished compressionbase with respect to which G satisfies the Rickart projectionand general comparison properties. We prove that a monotone -complete RC-group is a union of subgroups each of which isa lattice-ordered Dedekind -complete RC-group. |
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