Noncommutative valuation rings of the quotient Artinian ring of a skew polynomial ring.

DOI10.1007/s10468-004-5766-yzbMath1110.16051OpenAlexW2027418103MaRDI QIDQ1780990

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

Publication date: 15 June 2005

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-004-5766-y

zbMATH Keywords

skew polynomial ringsDubrovin valuation ringstotal valuation ringsvalue groupsinvariant 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)

Related Items (7)

Primes of Gauss Extensions Over Crossed Product Algebras ⋮ Ore extensions over total valuation rings. ⋮ Real valuations on skew polynomial rings ⋮ A classification of graded extensions in a skew Laurent polynomial ring. ⋮ Partial Skew Polynomial Rings and Goldie Rings ⋮ Gauss extensions and total graded subrings for crossed product algebras. ⋮ A classification of graded extensions in a skew Laurent polynomial ring. II.

Cites Work

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• Dubrovin valuation rings and Henselization
• Noncommutative Prüfer rings satisfying a polynomial identity
• Non-commutative valuation rings and semi-hereditary orders
• Localizations of Dedekind prime rings
• NONCOMMUTATIVE VALUATION RINGS IN SIMPLE FINITE-DIMENSIONAL ALGEBRAS OVER A FIELD
• Valuation rings in Ore extensions

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