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A theorem on linear transformations of torsion-free modules of infinite rank

✍ Scribed by P. Ribenboim


Publisher
Akadmiai Kiad
Year
1963
Tongue
English
Weight
299 KB
Volume
14
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES


Every Endomorphism of a Local Warfield M
✍ RΓΌdiger GΓΆbel; Ansgar OpdenhΓΆvel πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 118 KB

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.