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Elementary equivalence of endomorphism rings of Abelian p-groups

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In this paper we study a 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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Translated from Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 10, No. 2, pp. 135–224, 2004.

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Bunina, E.I., Mikhalev, A.V. Elementary equivalence of endomorphism rings of Abelian p-groups. J Math Sci 137, 5212–5274 (2006). https://doi.org/10.1007/s10958-006-0296-2

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