Embeddings into Simple Lattice-ordered Groups with Different First Order Theories.
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Manfred Droste, Michèle Giraudet (1989)
Forum mathematicum
Mikko Saarimäki, P. Sorjonen (1995)
Mathematica Scandinavica
Paul F. Conrad (1974)
Czechoslovak Mathematical Journal
W. Holland (1976)
Fundamenta Mathematicae
Sergei A. Gurchenkov (1997)
Mathematica Slovaca
S. Wolfenstein (1970)
Bulletin de la Société Mathématique de France
Byrd, Richard D., Lloyd, Justin T., Mena, Roberto A., Teller, J.Roger (1980)
International Journal of Mathematics and Mathematical Sciences
Sylvia Pulmannová (2006)
Czechoslovak Mathematical Journal
The notion of a partially ordered partial abelian monoid is introduced and extensions of partially ordered abelian monoids by partially ordered abelian groups are studied. Conditions for the extensions to exist are found. The cases when both the above mentioned structures have the Riesz decomposition property, or are lattice ordered, are treated. Some applications to effect algebras and MV-algebras are shown.
Anthony W. Hager, Lewis C. Robertson (1978)
Rendiconti del Seminario Matematico della Università di Padova
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