Does the automorphism group generate the endomorphism ring in \(\text{Rep}(S,R)\)?

DOI10.1006/jabr.2000.8361zbMath0972.16019OpenAlexW2007012668MaRDI QIDQ1584610

Lutz H. Strüngmann

Publication date: 23 August 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8361

zbMATH Keywords

endomorphism ringsrepresentationsautomorphism groupsfinite posets\(m\)-sum property

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Representations of quivers and partially ordered sets (16G20)

Related Items

On unit sum numbers of rational groups. ⋮ Sums of automorphisms of free modules and completely decomposable groups. ⋮ \(k\)-good formal matrix rings of infinite order

Cites Work

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• Stacked bases for modules over principal ideal domains
• Sums of automorphisms of a primary abelian group
• Free modules with two distinguished submodules
• On Endomorphisms of Primary Abelian Groups
• Endomorphism Rings Generated by Units
• An Ideal-Theoretic Characterization of the Ring of All Linear Transformations
• Every Linear Transformation is a Sum of Nonsingular Ones