Classifying almost completely decomposable abelian groups

DOI10.1006/jabr.1994.1364zbMath0818.20066OpenAlexW1983337093MaRDI QIDQ1340977

Adolf Mader, C. I. Vinsonhaler

Publication date: 20 August 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1364

zbMATH Keywords

extensionsregulatoralmost completely decomposable groupscritical typesfinite abelian groupsnear-isomorphismtypesetclassification up to type-isomorphismdistinguished subgroups

Mathematics Subject Classification ID

Finite abelian groups (20K01) Extensions of abelian groups (20K35) 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 (12)

Quotient Stable Uniform Groups ⋮ The duals of almost completely decomposable groups ⋮ Decompositions of torsion-free abelian groups ⋮ Almost completely decomposable groups with two critical types ⋮ Isomorphism classes of uniform groups. ⋮ Representing matrices of almost completely decomposable groups ⋮ Representations over PID’s with three distinguished submodules ⋮ Endomorphism rings of rigid almost completely decomposable Abelian groups. ⋮ Almost completely decomposable groups and integral linear algebra ⋮ Local-global relations for almost completely decomposable groups ⋮ Classification of modules with two distinguished pure submodules and bounded quotients ⋮ Direct sums and refinement

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