Periodic Abelian groups with UA-rings of endomorphisms

DOI10.1023/A:1012931011216zbMath1025.20040OpenAlexW235018069MaRDI QIDQ1810033

Oleg V. Lyubimtsev

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012931011216

zbMATH Keywords

endomorphism ringsUA-ringsunique addition ringstorsion Abelian groupsperiodic Abelian groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (14)

Torsion-free modules with UA-rings of endomorphisms. ⋮ UA-properties of modules over commutative Noetherian rings ⋮ Nonreduced abelian groups with UA-rings of endomorphisms ⋮ Completely decomposable quotient divisible abelian groups with UA-rings of endomorphisms. ⋮ ОДНОРОДНЫЕ ОТОБРАЖЕНИЯ СМЕШАННЫХ МОДУЛЕЙ ⋮ Characterization of completely decomposable quotient divisible abelian groups by their endomorphism semigroups ⋮ Abelian groups as UA-modules over the ring \(\mathbb{Z}\). ⋮ Unnamed Item ⋮ Algebraically compact abelian groups with UA-rings of endomorphisms ⋮ On the UA-properties of abelian \(sp\)-groups and their endomorphism rings ⋮ On homogeneous mappings of finitely presented modules over the ring of polyadic numbers ⋮ Isomorphisms of endomorphism semigroups of mixed abelian groups ⋮ Separable torsion-free modules with UA-rings of endomorphisms. ⋮ Mixed abelian groups with isomorphic endomorphism semigroups.

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