Orderings of higher level on noetherian rings

DOI10.1080/00927879908826748zbMath0939.16025OpenAlexW1984215330MaRDI QIDQ4265567

Jakob Cimprič

Publication date: 4 July 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826748

zbMATH Keywords

Noetherian ringsPositivstellensatzintersection theoremNoetherian prime ringsprime preorderingsproper preorderings

Mathematics Subject Classification ID

Topological and ordered rings and modules (16W80) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (3)

The Noncommutative Graded Positivstellensatz ⋮ Central Extensions of n-Ordered Division Rings ⋮ HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS

Cites Work

• Unnamed Item
• On rings admitting orderings and 2-primary chains of orderings of higher level
• Holomorphy rings and higher level orders on skew fields
• Witt rings and orderings of skew fields
• The intersection theorem for orderings of higher level in rings
• Orderings, real places, and valuations on noncommutative integral domains
• The real spectrum of a noncommutative ring
• Null- and Positivstellensätze for generalized real closed fields
• A Nullstellensatz and a Positivstellensatz in semialgebraic geometry
• Higher level orders on noncommutative rings

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