Geodesic
Elementary equivalence of endomorphism rings of Abelian $p$-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 2, pp. 135-224.

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In this paper we study relationship between elementary equivalence of endomorphism rings of Abelian $p$-groups and second order equivalence of the corresponding Abelian $p$-groups. 
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E. I. Bunina; A. V. Mikhalev. Elementary equivalence of endomorphism rings of Abelian $p$-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 2, pp. 135-224. http://geodesic.mathdoc.fr/item/FPM_2004_10_2_a3/

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