Results 201 to 210 of about 34,889 (238)

Direct decompositions of torsion-free Abelian groups of finite rank

Journal of Soviet Mathematics, 1990
See the review in Zbl 0631.20045.
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Soluble Groups of Type (FP)∞ have Finite Torsion-Free Rank

Bulletin of the London Mathematical Society, 1993
A 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).
openaire   +1 more source

Direct decompositions of torsion-free Abelian groups of finite rank

Journal of Soviet Mathematics, 1985
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 132, 17-25 (Russian) (1983; Zbl 0524.20029).
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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.
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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.
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Multiplications on torsion-free groups of finite rank

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2023
Ekaterina Igorevna Kompantseva, Askar Tuganbaev   +1 more
openaire   +1 more source

Radical modules over hyperabelian groups of finite torsion-free rank

jgth, 1998
This paper continues the author's work on radical modules over infinite groups satisfying some finiteness condition, where a module \(M\) over a group \(G\) is called radical if there exists a surjective derivation from \(G\) onto \(M\). Prototypes of such modules are radical rings in the sense of Jacobson, regarded as modules over their adjoint groups.
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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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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
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E-Uniserial Torsion-Free Abelian Groups of Finite Rank

1984
An 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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