New examples of indecomposable torsion-free abelian groups of finite rank and rings on them

DOI10.1142/S0219498823502158zbMath1526.20077OpenAlexW4281768243MaRDI QIDQ6053075

Ryszard R. Andruszkiewicz, Mateusz Woronowicz

Publication date: 25 September 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823502158

zbMATH Keywords

associative ringfinite ranktorsion-free abelian groups

Mathematics Subject Classification ID

Torsion-free groups, finite rank (20K15) General commutative ring theory (13A99)

Related Items (1)

The classification of non-commutative torsion-free rings of rank two

Cites Work

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• A note on additive groups of some specific associative rings
• On torsion free rings with indecomposable additive group of rank two.
• A TORSION-FREE ABELIAN GROUP EXISTS WHOSE QUOTIENT GROUP MODULO THE SQUARE SUBGROUP IS NOT A NIL-GROUP
• A torsion-free abelian group of finite rank exists whose quotient group modulo the square subgroup is not a nil-group
• Rings on indecomposable torsion free groups of rank two
• On Type-Sets of Torsion-Free Abelian Groups of Rank 2
• Additive Groups of Commutative Rings
• A note on additive groups of some specific torsion-free rings of rank three and mixed associative rings
• On additive groups of associative and commutative rings
• Abelian Groups
• The endomorphism ring of the additive group of a ring

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