On varietal capability of Infinite direct products of groups

Recently, the authors gave some conditions under which a direct product of finitely many groups is V-capable if and only if each of its factors is V-capable for some varieties V. In this paper, we extend this fact to any infi nite direct product of groups. Moreover, we conclude some results for V-ca...

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Bibliographic Details
Main Authors: Behrooz Mashayekhy, Hanieh Mirebrahimi
Format: Article
Language:English
Published: University of Isfahan 2012-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=850&_ob=c7158d00eaa639c32430a262f09c81fa&fileName=full_text.pdf