Elsevier

Journal of Algebra

Volume 233, Issue 2, 15 November 2000, Pages 758-771
Journal of Algebra

Regular Article
Every Endomorphism of a Local Warfield Module of Finite Torsion-Free Rank Is the Sum of Two Automorphisms

https://doi.org/10.1006/jabr.2000.8378Get rights and content
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Abstract

A well-known result of P. Hill's [1969, Trans. Amer. Math. Soc.141, 99–105] says that any endomorphism of a totally projective abelian p-group for any odd prime is the sum of two automorphisms. We will extend this result to local Warfield modules of finite torsion-free rank over odd primes.

Keywords

local Warfield modules
invariant decomposition basis
sums of two automorphisms

Cited by (0)

Communicated by Efim, Zelmanov

1

This work is supported by Project G-545-173.06/97 of the German–Israeli Foundation for Scientific Research & Development.