Abelian groups as UA-modules over the ring \(\mathbb{Z}\).

DOI10.1134/S0001434610030090zbMath1202.20060MaRDI QIDQ1957060

D. S. Chistyakov, Oleg V. Lyubimtsev

Publication date: 24 September 2010

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

zbMATH Keywords

mixed Abelian groupsdivisible groupsunique addition modulesreduced groupsstrongly pure subgroupsunitary modules over associative rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Mixed groups (20K21)

Related Items (7)

О КОЛЬЦЕВЫХ СТРУКТУРАХ НА МНОЖЕСТВЕ ЦЕЛЫХ ЧИСЕЛ ⋮ Torsion-free Abelian groups of finite rank as endomorphic modules over their endomorphism ring. ⋮ 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

• Periodic Abelian groups with UA-rings of endomorphisms
• Unique addition modules
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