Abelian groups as UA-modules over their endomorphism ring.

DOI10.1134/S0001434612050355zbMath1285.20057MaRDI QIDQ2435848

D. S. Chistyakov

Publication date: 20 February 2014

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

zbMATH Keywords

endomorphism ringsuniserial modulesirreducible modulestorsion-free Abelian groups of finite rankUA-modulesunique addition modulesdistributive modulesquasidecompositions of groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items (6)

ОДНОРОДНЫЕ ОТОБРАЖЕНИЯ СМЕШАННЫХ МОДУЛЕЙ ⋮ Homogeneous maps of Abelian groups. ⋮ Unnamed Item ⋮ 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 ⋮ Separable torsion-free modules with UA-rings of endomorphisms.

Cites Work

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• Distributive rings and endodistributive modules
• Finite rank torsion free Abelian groups and rings
• Unique addition modules
• Endomorphism rings of Abelian groups

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