Total valuation rings of Ore extensions.

DOI10.1007/BF03322749zbMath1042.16035OpenAlexW2047815233MaRDI QIDQ1411454

Shigeru Kobayashi, Constantin Vraciu, Hidetoshi Marubayashi, Nicolae Popescu, Guang-Ming Xie

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322749

zbMATH Keywords

skew polynomial ringstotal subringsvaluation rings\(\alpha\)-derivationsGaussian extensions

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) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items

On derivations of differential Ore extensions, Gauss extensions and total graded subrings for crossed product algebras.

Cites Work

• Extensions of chain rings
• Valuation rings in Ore extensions
• Unnamed Item