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The lateral completion of an arbitrary lattice group

S. J. Bernau

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Source: Crossref

Published: May 1, 1975

DOI: 10.1017/s1446788700031463

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Source abstract

Summary This paper shows that every lattice group G can be densely embedded in a unique laterally complete lattice group H (the lateral completion of G ). All reasonable structure properties of G are inherited by H and we have the following relationships between the ideal radical L ( G ), the distributive radical D ( G ) and the radical R ( G ) of G and the corresponding radicals of H . .

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The lateral completion of an arbitrary lattice group — Mathematical Frontier Network