%0 Journal Article
%T On varietal capability of Infinite direct products of groups
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Mirebrahimi, Hanieh
%A Mashayekhy, Behrooz
%D 2012
%\ 09/01/2012
%V 1
%N 3
%P 33-37
%! On varietal capability of Infinite direct products of groups
%K Capable group
%K Direct product
%K Variety of groups
%K V−capable group
%K direct limit
%R 10.22108/ijgt.2012.850
%X Recently, the authors gave some conditions under which a direct product of finitely many groups is $mathcal{V}-$capable if and only if each of its factors is $mathcal{V}-$capable for some varieties $mathcal{V}$. In this paper, we extend this fact to any infinite direct product of groups. Moreover, we conclude some results for $mathcal{V}-$capability of direct products of infinitely many groups in varieties of abelian, nilpotent and polynilpotent groups.
%U https://ijgt.ui.ac.ir/article_850_c7158d00eaa639c32430a262f09c81fa.pdf