Results 101 to 110 of about 164 (135)

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
exaly   +3 more sources

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.
exaly   +2 more sources

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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Extensions of torsion-free Abelian groups of finite rank

Archiv Der Mathematik, 1972
R B Warfield, Warfield R B
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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.
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Finite Rank Torsion Free Abelian Groups and Rings

Lecture Notes in Mathematics, 1982
David M Arnold
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The automorphism group of the semigroup of finite complexes of a rank one torsion free abelian group

Archiv Der Mathematik, 1982
Byrd, Richard D., Lloyd, Justin T., Stepp, James W.   +2 more
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Torsion-Free Abelian Groups of Finite Rank with Marked Bases

Journal of Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

FINITE AUTOMORPHISM GROUPS OF TORSION-FREE ABELIAN GROUPS OF FINITE RANK

Mathematics of the USSR-Izvestiya, 1989
A well-known result of Jónsson states that each torsion-free group G of finite rank has a quasi-direct decomposition i.e. a subgroup A of finite index which is a direct sum of pure strongly indecomposable subgroups. For such a group several quasi-direct decompositions do exist all being quasi-isomorphic but generally not isomorphic.
openaire   +3 more sources

Self-Cancellation of Torsion-Free Abelian Groups of Finite Rank

Journal of Mathematical Sciences, 2002
An Abelian group \(A\) is said to have self-cancellation if \(A\oplus A\cong A\oplus B\) implies \(A\cong B\). A very simple example of a rank 4 torsion-free Abelian group without the self-cancellation property is constructed. The construction is based on the author's criterion [Algebra Anal. 7, No. 6, 33-78 (1995); corrections ibid. 11, No. 4, 222-224
openaire   +2 more sources