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$n$-Algebraic complete algebras, pseudodirect product and operator of algebraic closure on the subsets of universal algebras
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 4, pp. 97-102 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is given the definitions of an $n$-algebraic complete algebra and an $n$-algebraic completeness of the algebra which makes it possible to find algebraic closures of subsets of universal algebras. It is given the connection of the $n$-complitness of algebra with the operation of pseudodirect product of algebras.
Keywords: algebraic set of universal algebra, $n$-algebraic completeness of algebra
Mots-clés : pseudodirect product of algebras. 
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A. G. Pinus. $n$-Algebraic complete algebras, pseudodirect product and operator of algebraic closure on the subsets of universal algebras. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 4, pp. 97-102. http://geodesic.mathdoc.fr/item/VNGU_2016_16_4_a8/

[1] B. I. Plotkin, “Some concepts of algebraic geometry in universal algebra”, Algebra i Analiz, 9:4 (1997), 224–248 (in Russian)

[2] Daniyarova E., Myasnicov A., Remeslennikov V., “Unification Theorems in Algebraic Geometry”, Algebra Discrete Math., 1 (2001), 80–102

[3] A. G. Pinus, “On the quasiorder induced by inner homomorphisms and the operator of algebraic closure”, Sib. Math. J., 56:3 (2015), 499–504 | DOI

[4] Dickman M. A., “Larger Infinitary Languages”, Model-Theoretic Logics, Springer-Verlag, N. Y., 1985, 317–363

[5] A. G. Pinus, “Ihm-quasyorder and derived structures of universal algebras; 1-algebraic complete algebras”, Proc. of Irkutsk Univ., 12:1 (2015), 72–78 (in Russian)