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On ∞-quasivarieties

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Abstract

We introduce the notion of an ∞-quasivariety and characterize ∞-quasivarieties as classes closed with respect to certain operators.

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References

  1. A. G. Pinus, “Geometric Scales For Varieties of Algebraic Quasi-Identities,” Matem. Trudy 12(2), 160–169.

  2. V. A. Gorbunov, Algebraic Theory of Quasivarieties (Nauchnaya Kniga, Novosibirsk, 1999) [in Russian].

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  3. A. G. Pinus, “On Geometrically Complete Varieties,” Vestn. Novosibirsk. Univ. (in press).

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Authors and Affiliations

  1. Novosibirsk State Technical University, pr. K. Marksa 20, Novosibirsk, 630092, Russia

    A. G. Pinus

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  1. A. G. Pinus
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Correspondence to A. G. Pinus.

Additional information

Original Russian Text © A.G. Pinus, 2011, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, No. 8, pp. 40–45.

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Pinus, A.G. On ∞-quasivarieties. Russ Math. 55, 33–37 (2011). https://doi.org/10.3103/S1066369X11080068

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  • DOI: https://doi.org/10.3103/S1066369X11080068

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