Article
Keywords:
height valuation; valuated subgroups; countable unions of subgroups; $\Sigma $-groups
Summary:
References:
[1] Danchev P. V.:
Commutative group algebras of abelian $\Sigma $-groups. Math. J. Okayama Univ. (2) 40 (1998), 77-90.
MR 1755921
[2] Danchev P. V.:
Countable extensions of torsion abelian groups. Arch. Math. (Brno) (3) 41 (2005), 265-272.
MR 2188382 |
Zbl 1114.20030
[3] Danchev P. V.:
Generalized Dieudonné criterion. Acta Math. Univ. Comenianae (1) 74 (2005), 15-24.
MR 2154393 |
Zbl 1111.20045
[4] Danchev P. V.:
The generalized criterion of Dieudonné for valuated abelian groups. Bull. Math. Soc. Sc. Math. Roumanie (2) 49 (2006), 149-155.
MR 2223310
[5] Danchev P. V.:
The generalized criterion of Dieudonné for primary valuated groups. Acta Math. Sci. (3) 27 (2007).
MR 2418776 |
Zbl 1197.20047
[8] Dieudonné J. A.:
Sur les $p$-groupes abéliens infinis. Portugal. Math. (1) 11 (1952), 1-5.
MR 0046356
[9] Fuchs L.:
Infinite Abelian Groups. volumes I and II, Mir, Moskva 1974 and 1977 (in Russian).
MR 0457533 |
Zbl 0338.20063
[10] Kulikov L. Y.:
On the theory of abelian groups with arbitrary cardinality I and II. Mat. Sb. 9 (1941), 165-182 and 16 (1945), 129-162 (in Russian).
MR 0018180