Results 121 to 130 of about 24,618 (173)

On a class of torsion-free abelian groups of finite rank

open access: closedMathematical 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.
I. V. Karpova
semanticscholar   +3 more sources

Direct decompositions of torsion-free Abelian groups of finite rank

open access: closedJournal of Soviet Mathematics, 1990
See the review in Zbl 0631.20045.
A. V. Yakovlev
semanticscholar   +4 more sources

A Class of Torsion-Free Abelian Groups of Finite Rank

open access: closedProceedings of the London Mathematical Society, 1965
M. C. R. Butler
semanticscholar   +4 more sources

E-Uniserial Torsion-Free Abelian Groups of Finite Rank

open access: closed, 1984
An abelian group A is said to be E-uniserial if the lattice of fully invariant subgroups of A is a chain.
Jutta Hausen
semanticscholar   +3 more sources

Duality in some classes of torsion-free Abelian groups of finite rank

open access: closedSiberian Mathematical Journal, 1987
Let \(\sigma\), \(\tau\) be a pair of types of torsion-free (abelian) groups of rank 1 which are determined by characteristics \((k_ p)\), \((m_ p)\) such that \(k_ p\leq m_ p\) for all primes \(p\). A torsion-free group \(A\) of finite rank \(n\) belongs to the class \(D^{\tau}_{\sigma}\) iff there exists a free subgroup \(J\) of rank \(n\) of \(A ...
A. A. Fomin
semanticscholar   +3 more sources

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