Orderings and square roots in \(^*\)-fields

DOI10.1016/0021-8693(77)90402-1zbMath0359.12023OpenAlexW2063562310MaRDI QIDQ1238849

Samuel S. jun. Holland

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90402-1

Mathematics Subject Classification ID

Ordered fields (12J15) Near-fields (12K05)

Related Items

Strong ordering of *-fields, On Solèr's characterization of Hilbert spaces, Weakly *-ordered *-fields, Baer ordered *-fields of the first kind, A NOTE ON DEFINITE QUADRATIC SPACES AND BAER ORDERINGS, c-orderable division rings with involution, Pythagorean \(*\)-fields, Forms and Baer ordered *-fields, Bibliography on quantum logics and related structures, Witt groups of Hermitian forms over \(\ast\)-fields, Orthomodular lattices and quadratic spaces: A survey, Noncrossed Product Division Algebras with a Baer Ordering, Gradual transitivity in orthogonality spaces of finite rank, Orthogonality spaces of finite rank and the complex Hilbert spaces, Hermitian forms over ordered *-fields, Residually *-Abelian Valuation, Representation of partial *-orderings, Lie isomorphisms of non-gpi rings wiht involution, *-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.

Cites Work

• Remarks on type I Baer and Baer\(^*\)-rings
• Quadratische Semi-Ordnungen und quadratische Formen
• Composition of binary quadratic forms
• On the Structure of Unitary Groups
• On Ordered Skew Fields
• On the Structure of Unitary Groups (II)
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