STACKED BASES FOR HOMOGENEOUS COMPLETELY DECOMPOSABLE GROUPS

DOI10.1081/AGB-100002408zbMath1019.20022OpenAlexW1971756134MaRDI QIDQ2747164

Luigi Salce, Lutz H. Strüngmann

Publication date: 18 September 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100002408

zbMATH Keywords

direct sumshomogeneous completely decomposable groupsmaximal subringsstacked bases\(R\)-representationssubgroups of the rationals

Mathematics Subject Classification ID

Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items (6)

Remarks about the history of Abelian groups in England and Germany. ⋮ Abelian group theory in Italy. ⋮ Stacked decomposition theorem for modules over serial left Noetherian rings ⋮ Some generalizations of torsion-free Crawley groups ⋮ A category equivalence between homogeneous completely decomposable Abelian groups and modules over principal ideal domains ⋮ Generalized “stacked bases” theorem for modules over semiperfect rings

Cites Work

• Unnamed Item
• The endomorphism ring of an Abelian torsionfree homogeneous separable group
• Presentations of modules over local domains
• Homomorphisms and duality for torsion-free groups
• Stacked bases for modules over principal ideal domains
• STACKED BASES FOR COUNTABLE HOMOGENEOUS COMPLETELY DECOMPOSABLE GROUPS

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