Generalized Dieudonne and Honda criteria for primary Abelian groups
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 1
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We prove two theorems of the type of Dieudonne for the classes of p -torsion n -Σ-groups and weakly n -summable groups, respectively. These claims extend the classical Dieudonne criterion (Portugal. Math., 1952) and Honda criterion (Comment. Math. Univ. St. Pauli, 1964) as well as generalize recent results of ours in (Acta Math. Univ. Ostrav., 2006; 2007) and (Alg. Colloq., 2008).