Results 161 to 170 of about 2,671 (177)

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.
openaire   +2 more sources

New Examples of Indecomposable Torsion-Free Abelian Groups of Finite Rank and Rings on Them

Journal of Algebra and its Applications, 2022
R. Andruszkiewicz, M. Woronowicz
semanticscholar   +1 more source

On the torsion-free ranks of finitely generated nilpotent groups and of their abelian subgroups

Journal of Group Theory, 2004
Denote by \(f(n)\) the greatest integer \(h\) such that there exists a finitely generated nilpotent group of torsion-free rank \(h\) such that the torsion-free ranks of all Abelian subgroups of this group are not greater than \(n\). The author proves that the function \(f(n)\) satisfies the inequality \(f(n)\geq\tfrac18(n^2-4)+n\). Proving this theorem,
openaire   +2 more sources

Direct decompositions of torsion-free homogeneous Abelian groups of finite rank

Lithuanian Mathematical Journal, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Categories of Mixed and Torsion-Free Finite Rank Abelian Groups

1995
In this paper “group” always means “abelian group”. For a group G let T = T(G) be the torsion part and, for a prime p, let T p = T p (G), be the p-torsion part of G.
Alexander A. Fomin, William J. Wickless
openaire   +1 more source

Torsion-free Abelian Groups with Precobalanced Finite Rank Pure Subgroups

Abelian Groups, 2022
A. Giovannitti
semanticscholar   +1 more source

TORSION-FREE ABELIAN GROUPS WITH FINITE RANK ENDOMORPHISM RINGS

Quaestiones Mathematicae, 1991
Abstract We show that if A and C are torsion-free abelian groups with ∩{ker f|f: A → C} = 0 = ∩{ker g|g: C → A}, and if A has a left Artinian quasi-endomorphism ring then A and C share a nonzero quasi-summand. Some consequences explored.
openaire   +1 more source

Direct Decomposition Theory of Torsion-Free Abelian Groups of Finite Rank: Graph Method

Lobachevskii Journal of Mathematics, 2018
E. Blagoveshchenskaya, D. Kunetz
semanticscholar   +2 more sources

On Undecidability of Finite Subsets Theory for Torsion Abelian Groups

Mathematics, 2022
S M Dudakov
exaly  

Algorithms in Direct Decompositions of Torsion-Free Abelian Groups

Journal of Mathematical Sciences, 2023
E A Blagoveshchenskaya
exaly