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Ihm-quasiorder and derived structures of universal algebras; 1-algebraic complete algebras
The Bulletin of Irkutsk State University. Series Mathematics, Tome 12 (2015), pp. 72-78 Cet article a éte moissonné depuis la source Math-Net.Ru

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The relation of so-called Ihm-quasiorder (defining a closure operator on subsets of direct powers of basic sets of universal algebras) with the such derived structures of these algebras as a lattices its algebraic subsets, lattices of its subalgebras, semigroups of its innere homomorphisms. We introduce the notion of 1-algebraic complete algebras and prove that for any least countinual algebra of countable signature exists its 1-algebraic complete extebsion of the same power as the algebra.
Mots-clés : Ihm-quasiorder
Keywords: algebraic sets, innere homomorphisms, 1-algebraic complete algebras. 
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A. G. Pinus. Ihm-quasiorder and derived structures of universal algebras; 1-algebraic complete algebras. The Bulletin of Irkutsk State University. Series Mathematics, Tome 12 (2015), pp. 72-78. http://geodesic.mathdoc.fr/item/IIGUM_2015_12_a6/

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