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A note on the countable extensions of separable p ω + n -projective abelian p -groups

Peter Vassilev Danchev (2006)

Archivum Mathematicum

It is proved that if G is a pure p ω + n -projective subgroup of the separable abelian p -group A for n N { 0 } such that | A / G | 0 , then A is p ω + n -projective as well. This generalizes results due to Irwin-Snabb-Cutler (CommentṀathU̇nivṠtṖauli, 1986) and the author (Arch. Math. (Brno), 2005).

A note on the minimal normal Fitting class

Marco Barlotti (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Un gruppo finito ciclico-per-nilpotente appartiene alla minima classe di Fitting normale se e solo se è nilpotente.

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