Embedding \(*\)-ordered domains into skew fields.

DOI10.1016/j.jalgebra.2006.05.003zbMath1106.16019OpenAlexW2048842505MaRDI QIDQ2509262

Igor Klep

Publication date: 19 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.05.003

zbMATH Keywords

orderingsfields of fractionsvaluationsOre domainsskew fieldsrings with involutionskew field extensionsordered domains

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Ordered groups (group-theoretic aspects) (20F60) Integral domains (associative rings and algebras) (16U10)

Related Items (4)

An Involutorial Version of a Theorem of Gräter ⋮ Unnamed Item ⋮ \(*\)-orderable semigroups. ⋮ Residually *-Abelian Valuation

Cites Work

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• Biinvertible actions of Hopf algebras
• Orderings and \(*\)-orderings on cocommutative Hopf algebras
• Orderings and valuations on *-fields
• Strong ordering of *-fields
• *-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.
• Free skew fields have many *-orderings.
• Embedding ordered valued domains into division rings
• Generalized orderings and rings of fractions
• On the Embedding of Rings in Skew Fields
• Infinite Crossed Products and Group-Graded Rings
• Extension of orderings on *-fields
• ^*-Orderings on a ring with involution
• On Valuations, Places and Graded Rings Associated to ∗-Orderings
• Embeddings in Division Rings
• On the Structure of Unitary Groups
• Ordered \(*\)-rings

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