c-orderable division rings with involution

DOI10.1016/0021-8693(82)90053-9zbMath0482.16013OpenAlexW2004536595MaRDI QIDQ1162569

Maurice J. Chacron

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90053-9

zbMATH Keywords

centerunitary groupinfinitesimal elementssymmetric elementsvaluation ringalgebraic elementsc-orderingordered division rings with involution

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Topological and ordered rings and modules (16W80) Units, groups of units (associative rings and algebras) (16U60) Division rings and semisimple Artin rings (16Kxx)

Related Items (12)

Strong ordering of *-fields ⋮ Free skew fields have many *-orderings. ⋮ Correction to a theorem on c-ordering ⋮ A symmetric version of the notion of c-ordering ⋮ Baer orderings with noninvariant valuation ring ⋮ Extension of orderings on *-fields ⋮ On decomposing c-valued division rings ⋮ On *-Semiordering ⋮ On \(^*\)-primes and \(^*\)-valuations ⋮ Residually *-Abelian Valuation ⋮ Representation of partial *-orderings ⋮ Decomposing and ordering a certain crossed product

Cites Work

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• Rings with involution as partially ordered Abelian groups
• Orderings and square roots in \(^*\)-fields
• Quadratische Semi-Ordnungen und quadratische Formen
• ∗ -Valuations and Ordered ∗ -Fields

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