Every endomorphism of a local Warfield module of finite torsion-free rank is the sum of two automorphisms.

DOI10.1006/jabr.2000.8378zbMath1057.20040OpenAlexW2089118737MaRDI QIDQ1593805

Ansgar Opdenhövel, Rüdiger Göbel

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8378

zbMATH Keywords

endomorphismssums of automorphismslocal Warfield modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Morphisms of commutative rings (13B10) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Other special types of modules and ideals in commutative rings (13C13)

Related Items

Unit sum numbers of right self-injective rings, Torsion-free groups and modules with the involution property., Remarks about the history of Abelian groups in England and Germany., On unit sum numbers of rational groups., Modules over discrete valuation domains. III, Modules over discrete valuation domains. I, Sums of automorphisms of free modules and completely decomposable groups., THE UNIT SUM NUMBER OF SOME PROJECTIVE MODULES, \(sp\)-groups and their endomorphism rings, Modules over discrete valuation domains. II, Block diagonalization and $2$-unit sums of matrices over Prüfer domains

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