Almost completely decomposable groups and rings.

DOI10.1007/s10958-008-9065-8zbMath1160.20050OpenAlexW1981881295MaRDI QIDQ950877

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/s10958-008-9065-8

zbMATH Keywords

endomorphism ringscommutative ringsadditive groups of ringsalmost completely decomposable block rigid torsion-free Abelian groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Morphisms of commutative rings (13B10) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15) General commutative ring theory (13A99)

Related Items

Unnamed Item ⋮ Direct decomposition theory of torsion-free abelian groups of finite rank: graph method ⋮ Multiplication groups of abelian torsion-free groups of finite rank ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ 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.
• The endomorphism ring of the additive group of a ring
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