scientific article; zbMATH DE number 1429568

zbMath0945.20033MaRDI QIDQ4948333

Oleg V. Lyubimtsev

Publication date: 7 June 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

endomorphism ringsAbelian groupsunique addition ringsseparable torsion free End-UA-groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (18)

Torsion-free modules with UA-rings of endomorphisms. ⋮ UA-properties of modules over commutative Noetherian rings ⋮ Nonreduced abelian groups with UA-rings of endomorphisms ⋮ Unreduced generalized endoprimal abelian groups ⋮ Completely decomposable quotient divisible abelian groups with UA-rings of endomorphisms. ⋮ Unnamed Item ⋮ ОДНОРОДНЫЕ ОТОБРАЖЕНИЯ СМЕШАННЫХ МОДУЛЕЙ ⋮ 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 a class of quotient divisible abelian groups with isomorphic endomorphism semigroups ⋮ Definability of completely decomposable torsion-free abelian groups by semigroups of endomorphisms and groups of homomorphisms ⋮ 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. ⋮ Definability of completely decomposable torsion-free abelian groups by endomorphism semigroups and homomorphism groups ⋮ Mixed abelian groups with isomorphic endomorphism semigroups.

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