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Mathematical Logic, Algebra, Number Theory and Discrete Mathematics
On Jonsson varieties and quasivarieties
S. M. Dudakov Tver State University, Tver
Abstract:
Earlier the notion of a Jonsson varieties and quasivarieties was introduced. For these classes of algebraic structures various assertions were proven by some researchers. We show that Jonsson varieties and quasivarieties are exactly classes of sets or pointed sets, it depends on signature. Thus, the results from the works mentioned above are trivial.
Keywords:
variety, quasivariety, Jonsson theory.
Received: 25.11.2022 Revised: 14.12.2022
Citation:
S. M. Dudakov, “On Jonsson varieties and quasivarieties”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 4, 5–10
Linking options:
https://www.mathnet.ru/eng/vtpmk650 https://www.mathnet.ru/eng/vtpmk/y2022/i4/p5
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