Geodesic
Union of $U_r$-sets for the system of characters of the group of $p$-adic numbers
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 42-46

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The following theorem is proved: the union of countable many closed $U_{r}$-sets ($r>2$) for the Vilenkin–Dzhafarli system is again a $U_{r}$-set for this system. 
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     author = {T. D. Kozlovskaya},
     title = {Union of $U_r$-sets for the system of characters of the group of $p$-adic numbers},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {42--46},
     publisher = {mathdoc},
     number = {4},
     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a5/}
}
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T. D. Kozlovskaya. Union of $U_r$-sets for the system of characters of the group of $p$-adic numbers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 42-46. http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a5/