Extension of Hironaka's standard basis theorem for generalized power series

DOI10.1007/BF01202308zbMath0778.13019MaRDI QIDQ689791

Paulo Ribenboim

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

generalized power seriesLaurent seriesconstruct a standard basis

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Formal power series rings (13F25)

Related Items (3)

Algebra. Transl. from the Russian ⋮ Laurent series rings and pseudo-differential operator rings. ⋮ Reduction Mod p of Standard Bases

Cites Work

• Unnamed Item
• Standard bases and some computations in rings of power series
• Rings of generalized power series: Nilpotent elements
• Noetherian rings of generalized power series
• Fields: Algebraically closed and others
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I

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