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Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups
Vestnik St Petersburg University: Mathematics, 2023Mikhalev A V, E A Blagoveshchenskaya
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On rings with finite rank torsion free additive group
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1985The author shows that a nilpotent ring with rank n torsion-free additive group is either commutative or satisfies the identity \(x^ n=0\). This implies that when \(n=2\) the ring is commutative. He also proves the well- known result that the divisible hull of a finite rank torsion-free ring without zero-divisors is a division ring.
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The abelian groups with torsion-free endomorphism ring
Publicationes Mathematicae Debrecen, 2022openaire +2 more sources
On Locally Free Torsion-Free Rings of Finite Rank
Journal of the London Mathematical Society, 1968openaire +1 more source
The classification of fully filial torsion-free rings
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020Karol Pryszczepko
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Torsion Modules Over Free Ideal Rings
Proceedings of the London Mathematical Society, 1967openaire +1 more source
STRONGLY TORSION-FREE MODULES AND LOCAL COHOMOLOGY OVER COHEN–MACAULAY RINGS
Communications in Algebra, 2005Reza Sazeedeh
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Torsion-free modules with UA-rings of endomorphisms
Mathematical Notes, 2016D S Chistyakov +2 more
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Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
Proceedings of the London Mathematical Society, 1963openaire +1 more source