Introduction
The first section is usually an introduction. It has the role of presenting the general
framework of the paper, historical notes, relevance of the project and an outline of
the main results. Repetition should be kept to a minimum. The introduction should
not have more than two pages. Acknowledgements of support and thanks (e.g. to the
adviser) should be placed at the end of the introduction.
The body of the article should be usually divided in sections. Out of this introductory
section, the following section may be dedicated to preliminary results, that is, a list of
definitions and results (without proofs) that will be used in the project. Otherwise, the
following section can be the main section, or a sequence of different sections, dedicated
to the presentation of the project from the mathematical point of view.
The results should be distinguished correspondingly as theorems, propositions, lemmas and corollaries. Remarks, definitions, and examples can be used. Preferable is that
all the items to be numbered within sections: the first figure is the section number, the
latter designates the number of the item within the same section.
The beginning and the end of the proofs should be clearly emphasized. If necessary,
proofs can be divided in steps. Nested proofs should be avoided as much as possible.
If draws are necessary, the available packages for producing different pictures in
LATEX2e can be used. If complicated pictures are needed, there are available packages for including graphics, e.g. in EPS (Encapsulated Post Script) or PDF (Portable
Document Format).
Items listed as references should be relevant to the subject of the paper. The list of
references must be in alphabetical-chronological order. Abbreviations of names of journals and references should follow the standard form established by the Mathematical
Reviews.