Existence of prime elements in rings of generalized power series

DOI10.2307/2695102zbMath1006.13005OpenAlexW2076323182MaRDI QIDQ2758054

Daniel Pitteloud

Publication date: 2 March 2003

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2695102

zbMATH Keywords

ring of formal power seriesgeneralized power seriesreal closed fieldsprimality of irreducible element

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Formal power series rings (13F25) Divisibility and factorizations in commutative rings (13A05)

Related Items (5)

A factorisation theory for generalised power series and omnific integers ⋮ Unique factorization in generalized power series rings ⋮ Convex polytopes and factorization properties in generalized power series domains ⋮ Generalized power series with a limited number of factorizations ⋮ Algebraic properties of rings of generalized power series

Cites Work

• Unnamed Item
• Fields: Algebraically closed and others
• The elementary theory of restricted analytic fields with exponentiation

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