The algebraic closure of a formal power series field

DOI10.5802/ambp.42zbMath0849.12015OpenAlexW2333850340MaRDI QIDQ1911503

Ali Benhissi

Publication date: 11 November 1996

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1995__2_2_1_0

zbMATH Keywords

algebraic closureseparable closureGalois extensions of the Puiseux fieldmeromorphic formal power series

Mathematics Subject Classification ID

Ordered fields (12J15) Valued fields (12J10)

Related Items (3)

The McDonald theorem in positive characteristic ⋮ Algebraic series and valuation rings over nonclosed fields ⋮ The algebraic closure of the power series field in positive characteristic

Cites Work

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• Commutative rings whose finitely generated modules decompose
• The Absolute Galois Group of a Rational Function Field in Characteristic Zero is a Semi-Direct Product
• Algebraically Closed Fields Analogous to Fields of Puiseux Series
• An algebraically closed field

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