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On Mal’cev’s Multiplication of Antivarieties of Algebraic Systems

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Abstract

In this paper it is proved that subantivarieties of an antivariety K form a semigroup with respect to Mal’cev’s multiplication whenever K is an antivariety of algebraic systems whose signature Ω contains only finite number of function symbols.We show that the condition of finiteness of the set of function symbols from Ω is significant. Semigroups of subantivarieties of antivarieties of algebras are characterized.

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Authors and Affiliations

  1. Department of Algebra and Geometry, Volgograd Socio Pedagogical University, ul. Akademicheskaya 12, Volgograd, Russia

    A. V. Kartashova

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  1. A. V. Kartashova
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Correspondence to A. V. Kartashova.

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(Submitted by A. V. Kartashova)

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Kartashova, A.V. On Mal’cev’s Multiplication of Antivarieties of Algebraic Systems. Lobachevskii J Math 39, 89–92 (2018). https://doi.org/10.1134/S1995080218010158

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  • DOI: https://doi.org/10.1134/S1995080218010158

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