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Action-type axiomatizable classes of group representations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 2, pp. 73-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper adjoins the book of B. I. Plotkin and S. M. Vovsi Varieties of Representations of Groups (Zinatne, Riga (1983)) and turns to be, in a sense, its continuation. In the book, the varieties of representations have been considered. As a matter of fact, the varieties under consideration are action-type varieties. This paper studies other classes of representations, axiomatizable in a special action-type logic. 
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A. A. Gvaramiya; B. I. Plotkin. Action-type axiomatizable classes of group representations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 2, pp. 73-85. http://geodesic.mathdoc.fr/item/FPM_2005_11_2_a4/

[1] Maltsev A. I., Algebraicheskie sistemy, Nauka, M., 1970 | MR

[2] Plotkin B. I., Vovsi S. M., Mnogoobraziya predstavlenii grupp: Obschaya teoriya, svyazi i prilozheniya, Zinatne, Riga, 1983 | MR | Zbl

[3] Gratzer G., Lakser H., “A note on the implicational class generated by a class of structures”, Can. Math. Bull., 16:4 (1974), 603–605 | MR

[4] Gvaramia A., “Maltsev's theorem on quasi-varieties for multi-sorted algebras”, Algebra and Discrete Mathematics, Riga, 1984, 33–45

[5] Plotkin B. I., Tsurkov A., Action-type algebraic geometry in group representations, Preprint