Determination of a class of countable-rank, torsion-free Abelian groups by their endomorphism rings.

DOI10.1007/S10958-008-9084-5zbMath1160.20053OpenAlexW2090941602MaRDI QIDQ950906

Ekaterina Blagoveshchenskaya

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9084-5

zbMATH Keywords

endomorphism ringstorsion-free Abelian groupsregulator quotientsalmost completely decomposable block rigid torsion-free Abelian groupscountable rank Abelian 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 (4)

Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Direct decompositions of torsion-free abelian groups ⋮ On abelian groups with commutative commutators of endomorphisms ⋮ Cyclic regulator quotient groups in the class of almost completely decomposable groups.

Cites Work

• Finite rank torsion free Abelian groups and rings
• Endomorphism rings of Abelian groups.
• Dualities between almost completely decomposable groups and their endomorphism rings.
• CLASSIFICATION AND DIRECT DECOMPOSITIONS OF SOME BUTLER GROUPS OF COUNTABLE RANK
• The dual structure of almost completely decomposable groups and their endomorphism rings
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