A classification of graded extensions in a skew Laurent polynomial ring.

DOI10.2969/jmsj/06020423zbMath1147.16030OpenAlexW2076631556MaRDI QIDQ930631

Hidetoshi Marubayashi, Guang-Ming Xie

Publication date: 1 July 2008

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/06020423

zbMATH Keywords

graded ringsdivision ringsskew Laurent polynomial ringstotal valuation ringsgraded 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) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (1)

A classification of graded extensions in a skew Laurent polynomial ring. II.

Cites Work

• Extensions of chain rings
• Non-commutative valuation rings and semi-hereditary orders
• Noncommutative valuation rings of the quotient Artinian ring of a skew polynomial ring.
• Non-commutative valuation rings of \(K(X;\sigma,\delta)\) over a division ring \(K\).
• Gauss extensions and total graded subrings for crossed product algebras.
• OnR-Ideals of a Dubrovin Valuation RingR
• Valuation rings in Ore extensions

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