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The distributive lattice free product as a sublattice of the abelian l-group free product

Part of: Distributive lattices Ordered structures Boolean algebras (Boolean rings)

Published online by Cambridge University Press:  09 April 2009

Wayne B. Powell  and
Constantine Tsinakis
Wayne B. Powell
Affiliation:
Oklahoma State UniversityStillwater, Oklahoma 74078, U.S.A.
Constantine Tsinakis
Affiliation:
Vanderbilt UniversityNashville, Tennessee, U.S.A.
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Abstract

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This paper establishes an important link between the class of abelian l-groups and the class of distributive lattices with a distinguished element. This is accomplished by describing the distributive lattice free product of a family of abelian l-groups as a naturally generated sublattice of their abelian l-group free product.

MSC classification

Secondary: 06F20: Ordered abelian groups, Riesz groups, ordered linear spaces 06D05: Structure and representation theory

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 1 , February 1983 , pp. 92 - 100
Copyright
Copyright © Australian Mathematical Society 1983

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