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An algebra homomorphism of the locatized affine rings of an algebraic variety is continuous in the Krull topology of the respective local rings. It is not necessarily open or closed in the Krull topology. However, we show that the induced map on the associated analytic local rings is also open and closed in the Krull topology. To do this we prove a conjecture of Tougeron which states that if $η$ is an analytic curve on an analytic variety $V$ and $f$ is a formal power series which is convergent when restricted...

Extension d'un théorème de Pólya-Cantor à des séries rationnelles en variables non commutatives

Khira Lamèche (1970/1971)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Displaying 1 – 6 of 6

Ein Beweis des Hilbertschen Basissatzes.

Eine Anwendung des Selbergschen Siebes auf algebraische Zahlkörper

Ergänzung und Berichtigung zu : Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität.

Errata to the paper "Remarks of the elementary theories of formal and convergent power series" Fundamenta Mathematicae 105 (1980), pp. 229-239

Exposé on a conjecture of Tougeron

Extension d'un théorème de Pólya-Cantor à des séries rationnelles en variables non commutatives

Currently displaying 1 – 6 of 6