Rings with a cyclic group of units

DOI10.1016/0021-8693(70)90030-XzbMath0207.04704MaRDI QIDQ2543019

K. R. Pearson, Jürgen Schneider

Publication date: 1970

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

Mathematics Subject Classification ID

Units, groups of units (associative rings and algebras) (16U60)

Related Items (13)

Fields with indecomposable multiplicative groups ⋮ Finite groups of units of finite characteristic rings ⋮ Fuchs' problem for dihedral groups ⋮ How Many Units Can a Commutative Ring Have? ⋮ Fuchs' problem for endomorphisms of abelian groups ⋮ Is there an infinite field whose multiplicative group is indecomposable? ⋮ Finitely generated abelian groups of units ⋮ Fuchs' problem for \(p\)-groups ⋮ Finite Rings with Applications ⋮ Finite commutative rings with special types of groups of units ⋮ Finite rings with a specified group of units. ⋮ On the group of units of certain rings ⋮ Fuchs' problem for indecomposable abelian groups

Cites Work

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• Torsion-free groups having finite automorphism groups. I
• D.C.C. rings with a cyclic group of units
• Finite Automorphism Groups of Torsion-Free Groups
• Finite Rings Having a Cyclic Multiplicative Group of Units
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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