Representations of finite posets and near-isomorphism of finite rank Butler groups

DOI10.1216/rmjm/1181072239zbMath0835.20073OpenAlexW2042074125MaRDI QIDQ1898282

Manfred Dugas, David M. Arnold

Publication date: 31 January 1996

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181072239

zbMATH Keywords

typesindecomposable groupsalmost completely decomposable groupstypesetsfinite Abelian \(p\)-groupscategories of Butler groupsdirect sums of indecomposablesisomorphism classes of representationsnear isomorphism classes of Butler groupsnear isomorphism invariants

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Homological and categorical methods for abelian groups (20K40) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

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Block rigid almost completely decomposable groups and lattices over multiple pullback rings ⋮ Endomorphism rings of \(B_2\)-groups of infinite rank ⋮ STACKED BASES FOR COUNTABLE HOMOGENEOUS COMPLETELY DECOMPOSABLE GROUPS ⋮ Representations over PID’s with three distinguished submodules ⋮ Almost completely decomposable groups and integral linear algebra ⋮ Classification of modules with two distinguished pure submodules and bounded quotients

Cites Work

• Global Azumaya theorems in additive categories
• Finite rank torsion free Abelian groups and rings
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• Nearly isomorphic torsion free abelian groups
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• Genera and decompositions of lattices over orders
• Field-independent representations of partially ordered sets
• Isomorphism Invariants for Abelian Groups
• Almost completely decomposable groups with two critical types
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• A Class of Pure Subgroups of Completely Decomposable Abelian Groups
• Butler groups with finite typesets and free groups with distinguished subgroups
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