North-Western European Journal of Mathematics

ISSN=2496-5170

The Lille Main Square

## Aims and scope

The North-Western European Journal of Mathematics publishes research articles and surveys in all areas of pure and applied mathematics including history of mathematics. Articles can be submitted in Dutch, English, French or German.

## Policies

### Peer Review Process

The reviewing process is simple anonymous, that is the reviewers are kept anonymous while the authors are not. The authors are asked to provide the names of one or two potential associate editors who will manage their article. Then, the editor in chief assigns the article to an associate editor who seeks reviewer(s). Once the reviews are available, the associate editor reports his decision to the whole editorial board which takes the final decision regarding the acceptance of the article.

### Open Access Policy

The North-Western European Journal of Mathematics adheres to the principles of Fair Open Access, and is a member of the Free Journal Network. No charges are levied on authors. Articles are freely available to anyone as soon they are accepted. Hard copies of a volume are available at the cost of the paper and delivery.

Authors keep their copyrights. Thus they can reuse figures, article parts or any material they need for subsequent work. The contract license is the Creative Commons License CC-BY which is the most flexible contract maximising the readership on publication.

## Author Guidelines

Articles submission:

1. At the initial stage, the authors have only to send by mail a PDF file to the managing editor (philippe.heinrichNOSPAMATuniv-lille.fr).
2. Only when the article is accepted or subject to minor revisions are they asked to ensure it complies with the journal format. Here you can find an example of a LaTeX and a biblatex file. The template and the documentation in French and also in English.
3. After acceptance, the '.tex', '.bib' and '.pdf' files in the journal format should be sent by mail to the managing editor as well (philippe.heinrichNOSPAMATuniv-lille.fr).

LaTeX details:

• LaTeX class: We strongly encourage the authors to prepare their article to appear in the NWEJM journal with the dedicated nwejmart' LaTeX class, available with up to date MiKTeX and TeX Live distributions.
• Incompatibilities:
• Our production system is not compatible with the xypic' bundle. For commutative diagramms, please use instead the user-friendly and modern tikz-cd' package.
• We much more prefer graphics not created with PSTricks' and derived. Consider using PGF'/TikZ' or derived packages. In case you really need one of these packages, please contact us.
• Bibliography: The bibliography must be provided as a .bib' file in the format of the biblatex' package.
• Figures: The figures must be provided in PDF or EPS formats.

## Current Volume:

The current volume is the volume of 2023.
• Dans la perspective de construire une théorie de Galois infinie pour les extensions non extérieures, nous montrons dans ce texte que le monoïde des endomorphismes d'une $Z$-extension intérieure filtrée s'identifie à la complétion procentrale du groupe de ses automorphismes intérieurs. En particulier, ce monoïde a une structure topologique naturelle qui fait de lui un espace complet et totalement discontinu.
In order to build an infinite Galois theory for non-outer extensions, we show that the monoïd of endomorphisms of a filtered inner $Z$-extension identifies with the procentral completion of the group of its inner automorphisms. In particular, this monoid has a natural topological structure for which it is a complete and totally discontinuous space.

## Acknowledgements

This journal owes much to the following persons: Denis Bitouzé for LaTex support, Nadine Demarelle for printing service, Mohammed Khabzaoui for computer engineering issues and Omar Aouadi for secretarial tasks.

## Supports

The Paul Painlevé Laboratory and the Department of Mathematics of Lille provide financial support which ensures that this journal stays open access. The French Mathematical Society (SMF), the Dutch Mathematical Society (KWG), the Luxembourg Mathematical Society (SML) and the Fields Institute support this project, of a mathematics journal by a non-profit publisher, making research available free of charge for readers and authors.

## Friends

We provide a tentative list of journal friends, i.e. diamond open access journals free of charge for authors and readers.