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On Algebraic-Geometric and Universal Theories of Abelian Groups

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This paper is of an overview nature, accumulating results on algebraic geometry over Abelian groups and close to them model-theoretic results related to the description of principal universal classes and quasi-varieties.

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Correspondence to E. Yu. Daniyarova.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 23, No. 2, pp. 101–145, 2020.

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Daniyarova, E.Y., Mishchenko, A.A., Remeslennikov, V.N. et al. On Algebraic-Geometric and Universal Theories of Abelian Groups. J Math Sci 262, 660–690 (2022). https://doi.org/10.1007/s10958-022-05846-4

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