Almost completely decomposable groups with primary regulator quotients and their endomorphism rings

DOI10.1007/s10958-008-0044-xzbMath1160.20051OpenAlexW2039617411MaRDI QIDQ950822

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/s10958-008-0044-x

zbMATH Keywords

endomorphism ringscommutative ringsadditive groups of ringsalmost completely decomposable block rigid torsion-free Abelian groupscritical typesetsprimary regulator quotients

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items

Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules, Algorithms in direct decompositions of torsion-free abelian groups, Near isomorphism for countable-rank torsion-free abelian groups, Strongly indecomposable Butler groups, 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.
• Improved model selection criterion
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