Open AccessSur l’unicité de la forme des factorisations de longueur maximale d’une extension purement inséparable finie
Author(s) -
El Hassane Fliouet
Publication year - 2014
Publication title -
analele universităţii din timişoara. seria matematică-informatică/analele universităţii de vest din timişoara. seria matematică-informatică
Language(s) - English
Resource type - Journals
eISSN - 1841-3307
pISSN - 1841-3293
DOI - 10.2478/awutm-2014-0013
Subject(s) - factorization , extension (predicate logic) , physics , mathematics , combinatorics , computer science , algorithm , programming language
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 ≃ K1 ⊗k K2 ⊗k ···⊗k Km. In the present paper, we are especially interested in the uniqueness of the form of factorizations of maximum length