Chain conditions in endomorphism rings

DOI10.1216/RMJ-1985-15-1-91zbMath0588.16024OpenAlexW2021103369MaRDI QIDQ1073152

Ulrich F. Albrecht

Publication date: 1985

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1985-15-1-91

zbMATH Keywords

direct sumsascending chain conditionleft annihilatorsfinite left Goldie-dimensionGoldie-groupleft Goldie-ringquasi-Goldie-groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (5)

Abelian groups with semi-simple Artinian quasi-endomorphism rings ⋮ Endomorphism rings of faithfully flat Abelian groups ⋮ Endomorphism rings and a generalization of torsion-freeness and purity ⋮ A note on almost maximal chain rings ⋮ Endomorphism rings of bimodules.

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