Results 191 to 200 of about 5,618 (233)

On Rings with Finite Rank Torsion Free Additive Group

open access: yesOn Rings with Finite Rank Torsion Free Additive Group
openaire  

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).
E A Blagoveshchenskaya
exaly   +5 more sources

Multiplications on torsion-free groups of finite rank

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2023
E. Kompantseva, A. Tuganbaev
semanticscholar   +2 more sources

On the complexity of the classification problem for torsion-free abelian groups of finite rank

Bulletin of Symbolic Logic, 2001
In this paper, we shall discuss some recent contributions to the project [15, 14, 2, 18, 22, 23] of explaining why no satisfactory system of complete invariants has yet been found for the torsion-free abelian groups of finite rank n ≥ 2. Recall that, up to isomorphism, the torsion-free abelian groups of rank n are exactly the additive subgroups of the ...
S. Thomas
semanticscholar   +3 more sources

Direct decompositions of torsion-free Abelian groups of finite rank

Journal of Soviet Mathematics, 1990
See the review in Zbl 0631.20045.
A V Yakovlev, Yakovlev A V
exaly   +3 more sources

Splitting Mixed Groups of Finite Torsion-Free Rank

Communications in Algebra, 2004
Abstract First, we give a necessary and sufficient condition for torsion-free finite rank subgroups of arbitrary abelian groups to be purifiable. An abelian group G is said to be a strongly ADE decomposable group if there exists a purifiable T(G)-high subgroup of G. We use a previous result to characterize ADE decomposable groups of finite torsion-free
Takashi Okuyama
exaly   +2 more sources

Totally Transitive Torsion-Free Groups of Finite p-Rank

Algebra and Logic, 2001
A torsion-free Abelian group \(A\) is a totally transitive group if any two elements \(a,b\in A\) with the characteristic condition \(\chi_A(a)\leq\chi_A(b)\) (\(\chi_A(a)=\chi_A(b)\)) are endomorphic (automorphic) conjugate elements, i.e., there is an endomorphism (automorphism) \(f\) such that \(fa=b\).
A. Chekhlov
semanticscholar   +3 more sources

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