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Preprint Number 1783
1783. Marcos Mazari-Armida A model theoretic solution to a problem of László Fuchs E-mail: Submission date: 14 May 2020 Abstract: Problem 5.1 in page 181 of [Fuc15] asks to find the cardinals λ such
that there is a universal abelian p-group for purity of cardinality
λ, i.e., an abelian p-group U_λ of cardinality λ such
that every abelian p-group of cardinality ≤ λ purely embeds in
U_λ. In this paper we use ideas from the theory of abstract elementary
classes to show: Mathematics Subject Classification: 20k30, 03C48, 03C45, 03C60, 13L05 Keywords and phrases: |

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