Characterization of the primary abelian groups, bounded modulo the divisible subgroup, by the radical of their endomorphism rings

DOI10.1007/BF01220454zbMath0383.20035MaRDI QIDQ1248707

Jutta Hausen, Johnny A. Johnson

Publication date: 1977

Published in: Archiv der Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27) Radicals and radical properties of associative rings (16Nxx)

Related Items (4)

Most abelian \(p\)-groups are determined by the Jacobson radical of their endomorphism rings ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Abelian groups ⋮ Jacobson Radical Isomorphism Theorems for Mixed Modules Part One: Determining the Torsion

Cites Work

• Quasi-regular ideals of some endomorphism rings
• Centers of purity in Abelian groups
• Near Central Automorphisms of Abelian Torsion Groups
• The Jacobson radical of some endomorphism rings.
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