Rings of quasi-endomorphisms of strongly indecomposable torsion-free Abelian groups

DOI10.1007/BF02312849zbMath0918.20044MaRDI QIDQ1280639

A. V. Cherednikova

Publication date: 22 April 1999

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

zbMATH Keywords

torsion-free groupsJacobson radicallocal ringsright Artinian ringsstrongly indecomposable groupsquasi-endomorphism ringsfully characteristic subgroupscompletely primary ringsouter typespseudosocles

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items (5)

О КОЛЬЦАХ КВАЗИЭНДОМОРФИЗМОВ НЕКОТОРЫХ СИЛЬНО НЕРАЗЛОЖИМЫХ АБЕЛЕВЫХ ГРУПП БЕЗ КРУЧЕНИЯ РАНГА 4 ⋮ Abelian groups in Russia. ⋮ Rings of quasi-endomorphisms of some direct sums of torsion-free abelian groups ⋮ Quasiendomorphism algebras of some quasidecomposable rank 4 torsion-free abelian groups ⋮ Centrally essential endomorphism rings of abelian groups

Cites Work

• Subrings of simple algebras
• Torsion-free rings
• Finite rank torsion free Abelian groups and rings
• Homomorphisms and duality for torsion-free groups
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