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Free expansions of the intersection of manifolds of universal algebras

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Abstract

The theory of free expansions in the intersection of a finite number of manifolds of universal algebras satisfying a given set of conditions (for example, in the manifold of all groups) is extended to the case of the intersection of any set of manifolds of universal algebras.

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Literature cited

  1. T. M. Baranovich, “Free expansions in the intersection of primitive classes of algebras,” Matem. Sb.,67, No. 1, 135–153 (1965).

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  2. A. G. Kurosh, Lectures on General Algebra [in Russian], Moscow (1962).

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Authors and Affiliations

  1. V. I. Lenin Moscow State Pedagogical Institute, USSR

    V. N. Matus

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  1. V. N. Matus
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Translated from Matematicheskie Zametki, Vol. 7, No. 5, pp. 551–562, May, 1970.

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Matus, V.N. Free expansions of the intersection of manifolds of universal algebras. Mathematical Notes of the Academy of Sciences of the USSR 7, 333–339 (1970). https://doi.org/10.1007/BF01123843

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  • DOI: https://doi.org/10.1007/BF01123843

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