The lateral completion of an arbitrary lattice group-Reference-Cited by-同舟云学术

The lateral completion of an arbitrary lattice group

Published:1975-05 Issue:3 Volume:19 Page:263-289
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Bernau S. J.

Abstract

SummaryThis paper shows that every lattice groupGcan be densely embedded in a unique laterally complete lattice groupH(the lateral completion ofG). All reasonable structure properties ofGare inherited byHand we have the following relationships between the ideal radicalL(G), the distributive radicalD(G) and the radicalR(G) ofGand the corresponding radicals ofH..

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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