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

✍ Scribed by Rüdiger Göbel; Ansgar Opdenhövel


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
118 KB
Volume
233
Category
Article
ISSN
0021-8693

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✦ Synopsis


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.