Fuchs' problem for endomorphisms of abelian groups

DOI10.1016/j.jalgebra.2023.08.017arXiv2308.11815OpenAlexW4386216140MaRDI QIDQ6051035

Keir H. Lockridge, Sunil K. Chebolu

Publication date: 19 September 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.11815

zbMATH Keywords

group of unitsabelian groupendomorphism

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• Unnamed Item
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• Which finite simple groups are unit groups?
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• A counterexample to the unit conjecture for group rings
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• Fuchs' problem for indecomposable abelian groups
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• How Many Units Can a Commutative Ring Have?
• On Fuchs' Problem about the group of units of a ring
• Finitely generated abelian groups of units
• Abelian Groups
• WHICH ALTERNATING AND SYMMETRIC GROUPS ARE UNIT GROUPS?
• On the Group of Units of a Ring
• Finite Rings Having a Cyclic Multiplicative Group of Units

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