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The power series ring over an Ore domain need not be Ore

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Publication:1164690
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DOI10.1016/0021-8693(82)90068-0zbMath0486.16003OpenAlexW2061693622MaRDI QIDQ1164690

Jeanne Wald Kerr

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90068-0


zbMATH Keywords

skew fieldpower series ringright Ore domaincentrefield coproduct


Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Division rings and semisimple Artin rings (16Kxx)


Related Items (11)

IBN and related properties for rings ⋮ Artinian quotient rings of power-series rings ⋮ Further results on skew Hurwitz series ring. I ⋮ Dependent rings ⋮ The ore condition for polynomial and power series rings ⋮ Goldie ranks of skew generalized power series rings ⋮ Analogues of IBN and related properties for modules. ⋮ Associative rings ⋮ On a ring structure related to annihilators ⋮ Krull dimension of malcev-neumann rings ⋮ On annihilator ideals in skew power series rings




Cites Work

  • Unnamed Item
  • Free ideal rings
  • The Embedding of Firs in Skew Fields




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