Results 141 to 150 of about 509 (172)

Direct decompositions of torsion-free Abelian groups of finite rank

Journal of Soviet Mathematics, 1985
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 132, 17-25 (Russian) (1983; Zbl 0524.20029).
E A Blagoveshchenskaya
exaly   +4 more sources

Direct decompositions of torsion-free Abelian groups of finite rank

Journal of Soviet Mathematics, 1990
See the review in Zbl 0631.20045.
A V Yakovlev, Yakovlev A V
exaly   +3 more sources

Duality of the categories of torsion-free Abelian groups of finite rank and quotient divisible Abelian groups

Journal of Mathematical Sciences, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yakovlev A V
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On a class of torsion-free abelian groups of finite rank

Mathematical Notes, 1994
A class of torsion free finite rank Abelian groups is characterized in this paper. The class can be treated as a generalization of Murley's \(\mathcal E\)-group class. The results of \textit{A. Fomin}'s paper [Algebra Logika 26, No. 1, 63-83 (1987; Zbl 0638.20030)] are applied.
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Torsion free Abelian groups of finite rank and their direct decompositions

Journal of Soviet Mathematics, 1991
In this note it is understood that all groups are torsion-free abelian groups of finite rank. The author reduces the problem of a description of the groups to the following questions: 1) Classification of strongly indecomposable groups; 2) Classification of categories \(\bar M^ p\); 3) Description of the kinds of groups; 4) Investigation of cones in ...
A V Yakovlev, Yakovlev A V
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On quasidecomposable finite rank torsion-free Abelian groups

Siberian Mathematical Journal, 1998
The author obtains two types of quasidecompositions for a finite rank torsion-free Abelian group \(G\). Using them, he proves pure semisimplicity of the module \(_EG\) in a particular case and obtains a criterion for pure semisimplicity of the module \(_EG\) in the general case.
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Invariants and duality in some classes of torsion-free abelian groups of finite rank

Algebra and Logic, 1987
See the review in Zbl 0638.20030.
A A Fomin
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Torsion-free abelian α-irreducible groups of finite rank

Communications in Algebra, 1994
If F is a free abelian group of finite rank and α is an endomorphism or an automorphism of its divisible hull, then the α‐ hull is determined, i.e. the minimal torsion-free abelian group with this endomorphism a. Torsion-free abelian groups of finite rank are called α-irreducible if their divisible hull is α-irreducible for an automorphism a.
Otto Mutzbauer
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Torsion-free Abelian groups of finite rank without nilpotent endomorphisms

Siberian Mathematical Journal, 1988
See the review in Zbl 0645.20033.
exaly   +4 more sources

Extensions of torsion-free Abelian groups of finite rank

Archiv Der Mathematik, 1972
R B Warfield, Warfield R B
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