Non-commutative valuation rings of \(K(X;\sigma,\delta)\) over a division ring \(K\).

DOI10.2969/JMSJ/1191334084zbMath1066.16051OpenAlexW2005679113MaRDI QIDQ1885100

Shigeru Kobayashi, Hidetoshi Marubayashi, Hiroaki Komatsu, Guang-Ming Xie

Publication date: 28 October 2004

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191334084

zbMATH Keywords

skew fields of fractionsskew polynomial ringsderivationsautomorphismsmaximal idealsprime idealslocalizationsDubrovin valuation ringsleft orderstotal valuation rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25)

Related Items (3)

Ore extensions over total valuation rings. ⋮ A classification of graded extensions in a skew Laurent polynomial ring. ⋮ A classification of graded extensions in a skew Laurent polynomial ring. II.

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