<abstract xmlns="http://www.w3.org/1999/xhtml"> 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. </abstract>

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.

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

Département de mathématiques Faculté des sciences Université Mohammed 1, Oujda Maroc

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Mar 25, 2015

Page range: 97 - 109

Received: Apr 09, 2014

Accepted: Sep 20, 2014

DOI: https://doi.org/10.2478/awutm-2014-0013

Keywords
Purement inséparable, factorisation, e-factorisation, modulaire

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Mar 25, 2015

Page range: 97 - 109

Received: Apr 09, 2014

Accepted: Sep 20, 2014

DOI: https://doi.org/10.2478/awutm-2014-0013

KeywordsPurement inséparable, factorisation, e-factorisation, modulaire

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Purement inséparable, factorisation, e-factorisation, modulaire