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Direct decompositions of torsion-free homogeneous Abelian groups of finite rank
Lithuanian Mathematical Journal, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Soluble Groups of Type (FP)∞ have Finite Torsion-Free Rank
Bulletin of the London Mathematical Society, 1993A group \(G\) is said to be of type \((FP)_ \infty\) over a non-zero commutative ring \(k\) if there is an exact sequence of \(ZG\)-modules \(P_ i\) of the form \(\dots \to P_ n \to \dots \to P_ 1 \to P_ 0 \to k\) with the modules \(P_ 0,P_ 1,\dots,P_ n,\dots\) finitely generated and projective. (Here \(k\) also denotes the trivial \(ZG\)-module).
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Categories of Mixed and Torsion-Free Finite Rank Abelian Groups
1995In 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
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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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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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The Grothendieck Group of Torsion-Free Abelian Groups of Finite Rank
Proceedings of the London Mathematical Society, 1963openaire +2 more sources
RANK links thymic regulatory T cells to fetal loss and gestational diabetes in pregnancy
Nature, 2020Magdalena Paolino +2 more
exaly
Extensions of torsion-free Abelian groups of finite rank
Archiv der Mathematik, 1972openaire +1 more source