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Minimal modules over prüfer rings

✍ Scribed by V. A. Puninskaya; G. E. Puninskii

Publisher: Springer US
Year: 1991
Tongue: English
Weight: 620 KB
Volume: 30
Category: Article
ISSN: 0002-5232
DOI: 10.1007/bf01980250

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

“Modules of Finite Rank over Prüfer Ring

“Modules of Finite Rank over Prüfer Rings” Revisited

✍ Isidore Fleischer 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 114 KB

Conditions for a finite rank module over an almost maximal valuation domain to be a direct sum of uniserials are developed.

Prüfer rings

✍ Paul Camion; L.S. Levy; H.B. Mann 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 268 KB

Prüfer rings

✍ Hubert S. Butts; William Smith 📂 Article 📅 1967 🏛 Springer-Verlag 🌐 French ⚖ 961 KB

Noncommutative prüfer rings

✍ Jusuf H Alajbegovic̀; Nikolai I Dubrovin 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 659 KB

Overrings of prüfer domains

✍ Robert W Gilmer Jr. 📂 Article 📅 1966 🏛 Elsevier Science 🌐 English ⚖ 552 KB

Weakly minimal modules over integral gro

Weakly minimal modules over integral group rings and over related classes of rings

✍ Stefano Leonesi; Sonia L'Innocente; Carlo Toffalori 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 204 KB

A module is weakly minimal if and only if every pp-definable subgroup is either finite or of finite index. We study weakly minimal modules over several classes of rings, including valuation domains, Prüfer domains and integral group rings.