HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS

DOI10.1081/AGB-100000794zbMath0996.16028MaRDI QIDQ2749089

Jakob Cimprič

Publication date: 23 July 2002

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

zbMATH Keywords

quadratic formsNoetherian ringsdivision ringsgeneralized power series ringsordered ringslevels of ringsproducts of \(n\)-th powers

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Topological and ordered rings and modules (16W80) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (5)

\(n\)-real valuations and the higher level version of the Krull-Baer theorem. ⋮ HIGHER PRODUCT PYTHAGORAS NUMBERS OF SKEW FIELDS ⋮ The Joly-Becker theorem for \(*\)-orderings ⋮ Higher product levels of domains ⋮ A Variant of Higher Product Levels of Integral Domains and *-Domains

Cites Work

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• Holomorphy rings and higher level orders on skew fields
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• Higher levels of \(\mathbb{Z}/p^l\mathbb{Z}\) and period equations
• The real spectrum of a noncommutative ring
• Null- and Positivstellensätze for generalized real closed fields
• Orderings of 2-power exponent on noncommutative rings
• Higher level orders on noncommutative rings
• Finitely presented ordered groups
• Summen n-ter Potenzen in Körpern.
• Orderings of higher level on noetherian rings
• Complete precones on noncommutative integral domains
• On ordered algebras

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