This article is cited in 3 papers

A class of groups in which all unconditionally closed sets are algebraic

O. V. Sipacheva

M. V. Lomonosov Moscow State University

Abstract: It is proved that, in any subgroup of a direct product of countable groups, the property of being an unconditionally closed set coincides with that of being an algebraic set.

UDC: 512.546.1+512.546.2+512.543.7

 English version: Journal of Mathematical Sciences (New York), 2008, 152:2, 288–291

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