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On a question in the Kourovka notebook. (English. Russian original) Zbl 1155.20309
Math. Notes 80, No. 1, 151-153 (2006); translation from Mat. Zametki 80, No. 1, 154-155 (2006).
Announcement of results.

MSC:
20E26 Residual properties and generalizations; residually finite groups
16N40 Nil and nilpotent radicals, sets, ideals, associative rings
16P10 Finite rings and finite-dimensional associative algebras
20F50 Periodic groups; locally finite groups
16S34 Group rings
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[1] The Kourovka Notebook: Unsolved Problems in Group Theory [in Russian], Fourteenth augmented edition, Eds. V. D. Mazurov and E. I. Khukhro, Russian Institute of Mathematics, Academy of Sciences, Siberian Division, Novosibirsk, 1999.
[2] K. A. Zhevlakov, A. M. Slin’ko, I. P. Shestakov, and A. I. Shirshov, Rings that are Nearly Associative [in Russian], Nauka, Moscow, 1978; English transl.: Academic Press, New York-London, 1982. · Zbl 0445.17001
[3] A. I. Mal’tsev, Matem. Sb., 25 (1949), 347–366.
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