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

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 fu...

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Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 39; no. 1; pp. 89 - 92
Main Author Kartashova, A. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2018
Springer Nature B.V
Subjects
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Multiplication
Probability Theory and Stochastic Processes
Symbols
Antivariety
Mal’cev’s multiplication
algebraic system
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Summary: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080218010158