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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 2, Pages 101–145 (Mi fpm1886)  
On algebraic-geometric and universal theories of Abelian groups

E. Yu. Daniyarova, A. A. Mishchenko, V. N. Remeslennikov, A. V. Treier

Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Omsk, st. Pevtsova 13, 644099, Russia
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Abstract: 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.
Funding agency Grant number
Russian Science Foundation 18-71-10028
19-11-00209
The results of the 2nd section were obtained with the support of Russian Science Foundation grant 18-71-10028. The results of the 3rd section were obtained with the support of Russian Science Foundation grant 19-11-00209.
English version:
Journal of Mathematical Sciences (New York), 2022, Volume 262, Issue 5, Pages 660–690
DOI: https://doi.org/10.1007/s10958-022-05846-4
Document Type: Article
UDC: 512.541+510.67
Language: Russian
Citation: E. Yu. Daniyarova, A. A. Mishchenko, V. N. Remeslennikov, A. V. Treier, “On algebraic-geometric and universal theories of Abelian groups”, Fundam. Prikl. Mat., 23:2 (2020), 101–145; J. Math. Sci., 262:5 (2022), 660–690
Citation in format AMSBIB
\Bibitem{DanMisRem20}
\by E.~Yu.~Daniyarova, A.~A.~Mishchenko, V.~N.~Remeslennikov, A.~V.~Treier
\paper On algebraic-geometric and universal theories of Abelian groups
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 2
\pages 101--145
\mathnet{http://mi.mathnet.ru/fpm1886}
\transl
\jour J. Math. Sci.
\yr 2022
\vol 262
\issue 5
\pages 660--690
\crossref{https://doi.org/10.1007/s10958-022-05846-4}
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