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Sur l’unicité de la forme des factorisations de longueur maximale d’une extension purement inséparable finie


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Let K/k be a finite purely inseparable extension of field k of characteristic p > 0. A factorization of length m of K/k is the data of m intermediate fields K1,K2, ··· ,Km of K/k such as K ≃ K1k K2k ···⊗k Km. In the present paper, we are especially interested in the uniqueness of the form of factorizations of maximum length.

eISSN:
1841-3307
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Inglés
Calendario de la edición:
Volume Open
Temas de la revista:
Mathematics, General Mathematics