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Changing the scalar multiplication on a vector lattice

Published online by Cambridge University Press:  09 April 2009

Paul Conard
Paul Conard
Affiliation:
University of KansasLAWRENCE Kansas 6604, U.S.A.
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Throughout this paper only abelian l-groups will be considered and G will denote an abelian l-group. G is large in the l-group H or H is an essential extension of G if G is an l-subgroup of H and for each l-ideal L ≠ 0 of H we have L ∩ G ≠ 0. A ν-hull of G is a minimal vector lattice that contains G and is an essential extension of G. Each G admits a ν-hull (Conrad (1970)).We shall be interested in the following properties of G.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 20 , Issue 3 , November 1975 , pp. 332 - 347
Copyright
Copyright © Australian Mathematical Society 1975

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