Factorization in generalized power series
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Publication:4699622
DOI10.1090/S0002-9947-99-02172-8zbMath0957.13020MaRDI QIDQ4699622
Publication date: 17 November 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
generalized power seriesreal closed fieldsordered ringssurreal numbersirreducible formal power series
Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Ordered rings, algebras, modules (06F25) Non-Archimedean valued fields (12J25) Formal power series rings (13F25) Power series rings (13J05) Real and complex fields (12D99)
Related Items
A factorisation theory for generalised power series and omnific integers ⋮ Factorisation of germ-like series ⋮ Lengths of developments in \(K((G))\) ⋮ Algebra. Transl. from the Russian ⋮ Laurent series rings and pseudo-differential operator rings. ⋮ 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
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