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Sull'ordine di un modulo finitamente generato e graduato su un anello di polinomi

Giorgio IsraelAntonia Mendolia — 1977

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

This paper deals with the order of the graduate module k [ X 0 , , X n ] / ( f 1 , , f m ) where f 1 , , f m is a k [ X 0 , , X n ] -sequence of polynomials. The general form of Bézout's theorem is deduced from the calculation of this order. An alternative proof of this theorem is given, under the assumption that n = m .

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