*-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.

DOI10.1016/S0022-4049(02)00330-4zbMath1052.16021MaRDI QIDQ1868698

Murray A. Marshall

Publication date: 28 April 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

growthGelfand-Kirillov dimensionfinitely generated algebrasrings with involutionreal spectra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Growth rate, Gelfand-Kirillov dimension (16P90) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Universal enveloping algebras of Lie algebras (16S30) Skew fields, division rings (12E15)

Related Items (8)

Real spectra of quantum groups ⋮ Valuation theory of higher level *-signatures ⋮ Free skew fields have many *-orderings. ⋮ Orderings and \(*\)-orderings on cocommutative Hopf algebras ⋮ The Joly-Becker theorem for \(*\)-orderings ⋮ On \(*\)-orderable groups. ⋮ \(*\)-orderable semigroups. ⋮ Embedding \(*\)-ordered domains into skew fields.

Cites Work

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• On orderings in real surfaces
• Orderings and valuations on *-fields
• Characterization of fans in *-fields
• Strong ordering of *-fields
• Witt rings and orderings of skew fields
• Witt groups of Hermitian forms over \(\ast\)-fields
• Characterization of fans and hereditarily pythagorean fields
• Orderings and square roots in \(^*\)-fields
• On the description of the reduced Witt ring
• Orderings, real places, and valuations on noncommutative integral domains
• The real spectrum of a noncommutative ring
• Embedding ordered fields in formal power series fields
• Spaces of orderings and abstract real spectra
• On the theory of quadratic forms over formally real fields
• On the Embedding of Rings in Skew Fields
• Approximation Properties for Orderings on ∗ -Fields
• ∗ -Valuations and Ordered ∗ -Fields
• Orderings and valuations on twisted polynomial rings
• ^*-Orderings on a ring with involution
• A Note on Noncommutative Polynomials
• Ordered \(*\)-rings

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