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Rings for which every module is a direct sum of cyclic modules

✍ Scribed by I. S. Cohen; I. Kaplansky

Publisher: Springer-Verlag
Year: 1951
Tongue: French
Weight: 267 KB
Volume: 54
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01179851

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📜 SIMILAR VOLUMES

Rings for which every cyclic module is q

Rings for which every cyclic module is quasi-projective

✍ Anne Koehler 📂 Article 📅 1970 🏛 Springer 🌐 English ⚖ 376 KB

Every Endomorphism of a Local Warfield M

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

✍ Rüdiger Göbel; Ansgar Opdenhövel 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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.

A direct sum decomposition for the Braue

A direct sum decomposition for the Brauer group of H-module algebras

✍ Margaret Beattie 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 367 KB