Geodesic
Strong theories of ordered Abelian groups
Alfred Dolich1 ; John Goodrick2
1 Department of Mathematics and Computer Science Kingsborough Community College Brooklyn, NY, U.S.A. and Department of Mathematics The CUNY Graduate Center New York, NY, U.S.A.
2 Departamento de Matemáticas Universidad de los Andes Carrera 1 no. 18A-12 Bogotá, Colombia
Fundamenta Mathematicae, Tome 236 (2017) no. 3, pp. 269-296.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider strong expansions of the theory of ordered Abelian groups. We show that the assumption of strength has a multitude of desirable consequences for the structure of definable sets in such theories, in particular as relates to definable infinite discrete sets. We also provide a range of examples of strong expansions of ordered Abelian groups which demonstrate the great variety of such theories.
DOI : 10.4064/fm256-5-2016
Keywords: consider strong expansions theory ordered abelian groups assumption strength has multitude desirable consequences structure definable sets theories particular relates definable infinite discrete sets provide range examples strong expansions ordered abelian groups which demonstrate great variety theories

Alfred Dolich 1 ; John Goodrick 2

1 Department of Mathematics and Computer Science Kingsborough Community College Brooklyn, NY, U.S.A. and Department of Mathematics The CUNY Graduate Center New York, NY, U.S.A.
2 Departamento de Matemáticas Universidad de los Andes Carrera 1 no. 18A-12 Bogotá, Colombia 
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Alfred Dolich; John Goodrick. Strong theories of ordered Abelian groups. Fundamenta Mathematicae, Tome 236 (2017) no. 3, pp. 269-296. doi : 10.4064/fm256-5-2016. http://geodesic.mathdoc.fr/articles/10.4064/fm256-5-2016/

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