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Modules

A homalg based Package for the Abelian Category of Finitely Presented Modules over Computable Rings

Version 2020.10-02

September 2015

(this manual is still under construction)

This manual is best viewed as an HTML document. The latest version is available online at:

https://homalg-project.github.io/homalg_project/Modules/doc/chap0.html

An offline version should be included in the documentation subfolder of the package. This package is part of the homalg-project:

http://homalg.math.rwth-aachen.de/index.php/core-packages/modules-package

Mohamed Barakat
Email: mohamed.barakat@uni-siegen.de
Homepage: https://mohamed-barakat.github.io
Address:
Department of Mathematics,
University of Siegen,
57072 Siegen,
Germany

Markus Lange-Hegermann
Email: markus.lange.hegermann@rwth-aachen.de
Homepage: http://wwwb.math.rwth-aachen.de/~markus
Address:
Lehrstuhl B für Mathematik, RWTH Aachen, Templergraben 64, 52056 Aachen, Germany

Copyright

© 2007-2015 by Mohamed Barakat and Markus Lange-Hegermann

This package may be distributed under the terms and conditions of the GNU Public License Version 2 or (at your option) any later version.

Acknowledgements

We are very much indebted to Alban Quadrat.

Contents

1 Introduction
2 Installation of the Modules Package
3 Quick Start
4 Ring Maps
5 Relations
6 Generators
7 Modules
8 Maps
9 Module Elements
10 Functors
11 Symmetric Algebra and Koszul Complex
12 Exterior Algebra and Koszul Complex
13 Examples
A The Mathematical Idea behind Modules
B Logic Subpackages
C Overview of the Modules Package Source Code
References
Index

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