Geodesic
On elementary equivalence of some unoids and unoids of their subsets
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2021), pp. 18-32

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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 $\mathfrak A$.
Mots-clés : unoid
Keywords: algebra of subsets, elementary equivalence. 
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     author = {B. N. Karlov},
     title = {On elementary equivalence of some unoids and unoids of their subsets},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {18--32},
     publisher = {mathdoc},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2021_3_a1/}
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B. N. Karlov. On elementary equivalence of some unoids and unoids of their subsets. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2021), pp. 18-32. http://geodesic.mathdoc.fr/item/VTPMK_2021_3_a1/