The -inductive topology on abelian -groups
Luigi Salce (1978)
Rendiconti del Seminario Matematico della Università di Padova
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Luigi Salce (1978)
Rendiconti del Seminario Matematico della Università di Padova
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Adolf Mader (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Peter Vassilev Danchev, Patrick Keef (2008)
Archivum Mathematicum
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We prove that pure subgroups of thick Abelian -groups which are modulo countable are again thick. This generalizes a result due to Megibben (Michigan Math. J. 1966). Some related results are also established.
Peter Vassilev Danchev (2007)
Acta Mathematica Universitatis Ostraviensis
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Simion Breaz, Grigore Călugăreanu (2002)
Commentationes Mathematicae Universitatis Carolinae
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The notions of nearly-maximal and near Frattini subgroups considered by J.B. Riles in [20] and the natural related notions are characterized for abelian groups.