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TORSION-FREE ABELIAN GROUPS WITH FINITE RANK ENDOMORPHISM RINGS
Quaestiones Mathematicae, 1991Abstract 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.
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The Grothendieck Group of Torsion-Free Abelian Groups of Finite Rank
Proceedings of the London Mathematical Society, 1963openaire +2 more sources
E-Uniserial Torsion-Free Abelian Groups of Finite Rank
1984An abelian group A is said to be E-uniserial if the lattice of fully invariant subgroups of A is a chain.
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Torsion free Abelian groups of finite rank and their direct decompositions
Journal of Soviet Mathematics, 1991A V Yakovlev, Yakovlev A V
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The Structure of Ext for Torsion-Free Modules of Finite Rank over Dedekind Domains
Communications in Algebra, 2003H Pat Goeters
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TORSION-FREE GROUPS WITH RANK RESTRICTING PROPERTIES
Communications in Algebra, 2005Costantino Delizia
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Duality in some classes of torsion-free Abelian groups of finite rank
Siberian Mathematical Journal, 1987A A Fomin
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