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The lateral completion of an arbitrary lattice group

Published online by Cambridge University Press:  09 April 2009

S. J. Bernau
S. J. Bernau
Affiliation:
University of Texas Austin, Texas 78712, U.S.A.
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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. .

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 3 , May 1975 , pp. 263 - 289
Copyright
Copyright © Australian Mathematical Society 1975

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