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Journal of the London Mathematical Society (1)

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MONOTONE $\sigma$-COMPLETE RC-GROUPS
DAVID J. FOULIS, SYLVIA PULMANNOVÁ
Journal:

Journal of the London Mathematical Society / Volume 73 / Issue 2 / April 2006

Published online by Cambridge University Press:

24 April 2006, pp. 304-324

Print publication:

April 2006
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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.