On the classification of torsion-free nil rings of rank two

DOI10.36045/j.bbms.221123OpenAlexW4386999762MaRDI QIDQ6179252

Mateusz Woronowicz, Ryszard R. Andruszkiewicz

Publication date: 16 January 2024

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-30/issue-2/On-the-Classification-of-Torsion-Free-Nil-Rings-of-Rank/10.36045/j.bbms.221123.full

zbMATH Keywords

associative ringnil ringnilpotent ringradical group

Mathematics Subject Classification ID

Torsion-free groups, finite rank (20K15) General commutative ring theory (13A99) Radicals and radical properties of associative rings (16N99)

Cites Work

• On the indecomposable torsion-free Abelian groups of rank two.
• Finite rank torsion free Abelian groups and rings
• A note on Feigelstock's conjecture on the equivalence of the notions of nil and associative nil groups in the context of additive groups of rings of finite rank
• Definability of completely decomposable torsion-free abelian groups by endomorphism semigroups and homomorphism groups
• A note on additive groups of some specific associative rings
• On torsion free rings with indecomposable additive group of rank two.
• Abelian groups which admit only nilpotent multiplications
• Rings on indecomposable torsion free groups of rank two
• On Type-Sets of Torsion-Free Abelian Groups of Rank 2
• The classification problem for torsion-free abelian groups of finite rank
• A simple solution of Stratton and Webb’s problem
• Abelian Groups
• Torsion free groups of rank two
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