Email this article On Mal’cev’s Multiplication of Antivarieties of Algebraic Systems
- Authors: Kartashova A.V.1
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Affiliations:
- Department of Algebra and Geometry
- Issue: Vol 39, No 1 (2018)
- Pages: 89-92
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200947
- DOI: https://doi.org/10.1134/S1995080218010158
- ID: 200947
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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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About the authors
A. V. Kartashova
Department of Algebra and Geometry
Author for correspondence.
Email: kartashovaan@yandex.ru
Russian Federation, ul. Akademicheskaya 12, Volgograd
