Zur Theorie nicht kommutativer Prüferringe

DOI10.1007/BF01193819zbMath0503.16003MaRDI QIDQ1173139

Joachim Graeter

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

intersections of valuation ringsleft Ore domainsleft P-ringsPruefer rings

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility, noncommutative UFDs (16U30) Localization and associative Noetherian rings (16P50)

Related Items (16)

Locally invariant Prüfer rings. ⋮ Characterizing nearly simple chain domains ⋮ Extensions of Valuation Rings in Central Simple Algebras ⋮ Noncommutative Prüfer rings ⋮ Extending rings of Prüfer type in central simple algebras. ⋮ Extending valuation rings via ultrafilters ⋮ Valuation rings in finite-dimensional division algebras ⋮ Strong right D-domains ⋮ Places on ∗- fields and the real holomorphy ring ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Semidistributive modules ⋮ Holomorphy rings and higher level orders on skew fields ⋮ Distributive modules and rings and their close analogs ⋮ On noncommutative Prüfer rings ⋮ Lokalinvariante Bewertungen. (Locally invariant valuations)

Cites Work

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• Bewertungen nicht kommutativer Körper
• Über die Bewertungen endlich dimensionaler Divisionsalgebren
• Der Approximationssatz für Bewertungen nicht kommutativer Körper
• Rings with a distributive lattice of right ideals
• Valuation theory
• Modules Whose Lattice of Submodules is Distributive

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