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Generalized Dieudonne and Honda criteria
for primary Abelian groups
P. V. Danchev
Received: November 02, 2006; Accepted: April 13, 2007
Abstract. 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).
Keywords: abelian groups, n-Σ-groups; weakly n-summable groups; height-finite subgroups; countable ascending unions.
AMS Subject classification: Primary: 20K10.
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