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[1] Vinogradov A. A., “Kvazimnogoobraziya abelevykh grupp”, Algebra i logika, 4:6 (1965), 15–19 | Zbl
[2] Gorbunov V. A., Algebraicheskaya teoriya kvazimnogoobrazii, Nauchnaya kniga, Novosibirsk, 1999
[3] Daniyarova E. Yu., “Ekvatsionalnye ko-oblasti v klasse abelevykh grupp”, Vestn. Omskogo un-ta, 23:4 (2018), 25–29 | MR
[4] Daniyarova E. Yu., Myasnikov A. G., Remeslennikov V. N., Algebraicheskaya geometriya nad algebraicheskimi sistemami, Izd-vo SO RAN, Novosibirsk, 2016
[5] Ershov Yu. L., Problemy razreshimosti i konstruktivnye modeli, Nauka, M., 1980
[6] Zarisckii O., Samyuel P., Kommutativnaya algebra, v. 1, Izd. inostr. lit., M., 1963
[7] Zarisckii O., Samyuel P., Kommutativnaya algebra, v. 2, Izd. inostr. lit., M., 1963
[8] Mischenko A. A., Remeslennikov V. N., Treier A. V., “Kanonicheskie i ekzistentsialnye gruppy v universalnykh klassakh abelevykh grupp”, Dokl. RAN, 467:3 (2016), 266–270 | MR
[9] Mischenko A. A., Remeslennikov V. N., Treier A. V., “Universalnye invarianty dlya klassov abelevykh grupp”, Algebra i logika, 56:2 (2017), 176–201 | MR
[10] Fedoseeva Yu. M., Algebraicheskaya geometriya nad abelevymi i nilpotentnymi gruppami, Dis. \ldots kand. fiz.-mat. nauk, 1998 | Zbl
[11] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974
[12] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977
[13] Fomin A. A., Abelevy gruppy bez krucheniya konechnogo ranga s tochnostyu do kvaziizomorfizma, Dis. \ldots dokt. fiz.-mat. nauk, M., 1992
[14] Baumslag G., Myasnikov A., Remeslennikov V., “Algebraic geometry over groups I. Algebraic sets and ideal theory”, J. Algebra, 219 (1999), 16–79 | DOI | MR | Zbl
[15] Baumslag G., Myasnikov A., Remeslennikov V., “Discriminating and co-discriminating groups”, J. Group Theory, 3:4 (2000), 467–479 | DOI | MR | Zbl
[16] Beaumont R. A., Pierce R. S., Torsion Free Groups of Rank Two, Mem. Amer. Math. Soc., Amer. Math. Soc., Providence, 1961 | MR | Zbl
[17] Daniyarova E. Yu., Remeslennikov V. N., “Calculation of the coordinate group by a system of equations over an abelian group”, Dynamics of Systems, Mechanisms and Machines, Dynamics (Omsk, 2018), IEEE, 2018, 1–6
[18] Eisenbud D., Commutative Algebra with a View Towards Algebraic Geometry, Graduate Texts Math., 150, Springer, Berlin, 1995 | DOI | MR
[19] Eklof P. C., “Some model theory of abelian groups”, J. Symbolic Logic, 37:2 (1972), 335–342 | DOI | MR | Zbl
[20] Hodges W., Model Theory, Cambridge Univ. Press, 1993 | MR | Zbl
[21] Jónsson B., “On direct decomposition of torsion free Abelian groups”, Math. Scand., 7 (1959), 361–371 | DOI | MR
[22] Kharlampovich O., Myasnikov A., “Irreducible affine varieties over free group I. Irreducibility of quadratic equations and Nullstellensatz”, J. Algebra, 200:2 (1998), 472–516 | DOI | MR | Zbl
[23] Kharlampovich O., Myasnikov A., “Irreducible affine varieties over free group II. Systems in triangular quasi-quadratic form and description of residually free groups”, J. Algebra, 200:2 (1998), 517–570 | DOI | MR | Zbl
[24] Lyndon R. C., “Groups with parametric exponents”, Trans. Amer. Math. Soc., 96 (1960), 518–533 | DOI | MR | Zbl
[25] Myasnikov A., Remeslennikov V., “Exponential groups 2. Extension of centralizers and tensor completion of CSA-groups”, Int. J. Algebra Comput., 6:6 (1996), 687–711 | DOI | MR | Zbl
[26] Myasnikov A., Remeslennikov V., “Algebraic geometry over groups II: Logical foundations”, J. Algebra, 234 (2000), 225–276 | DOI | MR | Zbl
[27] Plotkin B. I., Seven lectures on the universal algebraic geometry, 2002, arXiv: math/0204245 | MR
[28] Plotkin B., “Algebras with the same (algebraic) geometry”, Proc. Steklov Inst. Math., 242 (2003), 165–196 | MR | Zbl
[29] Szmielew W., “Elementary properties of Abelian groups”, Fund. Math., 41 (1955), 203–271 | DOI | MR | Zbl