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On noncommutative Prüfer rings

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Publication:1066240
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DOI10.1007/BF01210779zbMath0578.16001MaRDI QIDQ1066240

Joachim Graeter

Publication date: 1986

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


zbMATH Keywords

skew polynomial ringPrüfer ringslattice of right idealsmaximal valuation rings


Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Divisibility, noncommutative UFDs (16U30) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)


Related Items

Characterizing nearly simple chain domains ⋮ Strong right D-domains ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Semidistributive modules ⋮ Distributive modules and rings and their close analogs



Cites Work

  • Unnamed Item
  • Bewertungen nicht kommutativer Körper
  • Über die Bewertungen endlich dimensionaler Divisionsalgebren
  • Zur Bewertungstheorie nicht kommutativer Körper
  • Zur Theorie nicht kommutativer Prüferringe
  • Rings with a distributive lattice of right ideals
  • Modules Whose Lattice of Submodules is Distributive
  • Noncommutative valuations
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