Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2021, Issue 3, Pages 18–32 (Mi vtpmk620)  
This article is cited in 2 scientific papers (total in 2 papers)

Theoretical Foundations of Computer Science

On elementary equivalence of some unoids and unoids of their subsets

B. N. Karlov

Tver State University, Tver
Full-text PDF (422 kB) Citations (2)
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Abstract: In this paper we study the properties of unoids which contain a single injective function. Necessary and sufficient conditions are established for two such unoids to be elementarily equivalent. From this result we obtain necessary and sufficient conditions for the unoid of all subsets of unoid $\mathfrak A$ to be elementarily equivalent to the original unoid $\mathfrak A$.
Keywords: unoid, algebra of subsets, elementary equivalence.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00435-а
Received: 06.08.2021
Revised: 20.08.2021
Accepted: 27.10.2021
English version:

DOI: https://doi.org/10.26456/vtpmk620
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: B. N. Karlov, “On elementary equivalence of some unoids and unoids of their subsets”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2021, no. 3, 18–32
Citation in format AMSBIB
\Bibitem{Kar21}
\by B.~N.~Karlov
\paper On elementary equivalence of some unoids and unoids of their subsets
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2021
\issue 3
\pages 18--32
\mathnet{http://mi.mathnet.ru/vtpmk620}
\elib{https://elibrary.ru/item.asp?id=46694242}
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    • This publication is cited in the following 2 articles:
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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