Algebraic properties of rings of generalized power series

DOI10.1016/S0168-0072(01)00099-9zbMath0996.06009MaRDI QIDQ1602848

Daniel Pitteloud

Publication date: 24 June 2002

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

zbMATH Keywords

prime idealsgeneralized power seriesordinal numbersordered rings

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Models of arithmetic and set theory (03C62) Ordered rings, algebras, modules (06F25) Non-Archimedean valued fields (12J25) Formal power series rings (13F25) Power series rings (13J05)

Related Items (2)

A factorisation theory for generalised power series and omnific integers ⋮ Unique factorization in generalized power series rings

Cites Work

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• Fields: Algebraically closed and others
• The elementary theory of restricted analytic fields with exponentiation
• Maximal fields with valuations
• Existence of prime elements in rings of generalized power series
• Every real closed field has an integer part
• Logarithmic-Exponential Power Series
• Factorization in generalized power series
• Logarithmic-exponential series

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