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@article{ADM_2020_30_2_a10, author = {J. Sim\~oes da Silva and A. Tsurkov}, title = {Geometrical equivalence and action type geometrical equivalence of group representations}, journal = {Algebra and discrete mathematics}, pages = {273--281}, publisher = {mathdoc}, volume = {30}, number = {2}, year = {2020}, language = {en}, url = {http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a10/} }
TY - JOUR AU - J. Simões da Silva AU - A. Tsurkov TI - Geometrical equivalence and action type geometrical equivalence of group representations JO - Algebra and discrete mathematics PY - 2020 SP - 273 EP - 281 VL - 30 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a10/ LA - en ID - ADM_2020_30_2_a10 ER -
%0 Journal Article %A J. Simões da Silva %A A. Tsurkov %T Geometrical equivalence and action type geometrical equivalence of group representations %J Algebra and discrete mathematics %D 2020 %P 273-281 %V 30 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a10/ %G en %F ADM_2020_30_2_a10
J. Simões da Silva; A. Tsurkov. Geometrical equivalence and action type geometrical equivalence of group representations. Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 273-281. http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a10/
[1] G. Baumslag, A. Myasnikov, V. Remeslennikov, “Algebraic geometry over groups I: Algebraic sets and ideal theory”, Journal of Algebra, 219 (1999), 16–79 | DOI | MR | Zbl
[2] E. Daniyarova, A. Myasnikov, V. Remeslennikov, “Algebraic geometry over algebraic structures II: Foundations”, J. Math. Sci., 185:3 (2012), 389–416 | DOI | MR | Zbl
[3] E. Daniyarova, A. Myasnikov, V. Remeslennikov, “Algebraic geometry over algebraic structures V. The case of arbitrary signature”, Algebra Logic, 51:1 (2012), 28–40 | DOI | MR | Zbl
[4] A. Myasnikov, V. Remeslennikov, “Algebraic geometry over groups II: Logical Foundations”, Journal of Algebra, 234 (2000), 225–276 | DOI | MR | Zbl
[5] B. Plotkin, “Varieties of algebras and algebraic varieties. Categories of algebraic varieties”, Siberian Advances in Mathematics, 7:2 (1997), 64–97 | MR | Zbl
[6] St. Petersburg Math. J., 9:4 (1998), 859–879 | MR | Zbl
[7] B. Plotkin, “Algebras with the same (algebraic) geometry”, Proceedings of the International Conference on Mathematical Logic, Algebra and Set Theory, dedicated to 100 anniversary of P. S. Novikov, Proceedings of the Steklov Institute of Mathematics, 242, MIAN, 2003, 17–207 | MR
[8] B. Plotkin, E. Plotkin, “Multi-sorted logic and logical geometry: some problems”, Demonstratio Mathematica, XLVIII:4 (2015), 578–618 | MR
[9] B. Plotkin, E. Plotkin, A. Tsurkov, “Geometrical equivalence of groups”, Communications in Algebra, 27:8 (1999), 4015–4025 | DOI | MR | Zbl
[10] B. Plotkin, A. Tsurkov, “Action type geometrical equivalence of group representations”, Algebra Discrete Math., 4 (2005), 48–79 | MR | Zbl
[11] B. Plotkin, S. Vovsi, Varieties of representations of groups, Zinatne, Riga, 1983 (Russian) | MR
[12] I. Shestakov, A. Tsurkov, “Automorphic equivalence of the representations of Lie algebras”, Algebra Discrete Math., 15 (2013), 96–126 | MR | Zbl
[13] A. Tsurkov, “Automorphic equivalence of many-sorted algebras”, Applied Categorical Structures, 24:3 (2016), 209–240 | DOI | MR | Zbl
[14] A. Tsurkov, “Automorphic Equivalence in the Varieties of Representations of Lie algebras”, Communications in Algebra, 48:1 (2020), 397–409 | DOI | MR | Zbl
[15] S. M. Vovsi, Topics in varieties of group representations, Cambridge University Press, 1991 | MR | Zbl