Free skew fields have many *-orderings.

DOI10.1016/j.jalgebra.2004.01.033zbMath1078.16013OpenAlexW2020480712MaRDI QIDQ2386022

Jakob Cimprič

Publication date: 22 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.033

zbMATH Keywords

involutionsorderingsvaluationsLie algebrasfree skew fieldsrings with involutionordered rings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Infinite-dimensional and general division rings (16K40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Topological and ordered rings and modules (16W80) Skew fields, division rings (12E15)

Related Items (7)

An Involutorial Version of a Theorem of Gräter ⋮ Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras ⋮ Free Group Algebras in Division Rings with Valuation II ⋮ Embedding ordered valued domains into division rings ⋮ \(*\)-orderable semigroups. ⋮ Embedding \(*\)-ordered domains into skew fields. ⋮ Residually *-Abelian Valuation

Cites Work

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• Valuation methods in division rings
• Approximation Properties for Orderings on ∗ -Fields
• Places on ∗- fields and the real holomorphy ring
• Orderings and preorderings in rings with involution
• Extension of orderings on *-fields
• ^*-Orderings on a ring with involution
• Ordered \(*\)-rings

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