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Modules

A homalg based package for the Abelian category of finitely presented modules over computable rings

2024.01-01

10 January 2024

Thomas Bächler
Email: thomas@momo.math.rwth-aachen.de
Homepage: http://wwwb.math.rwth-aachen.de/~thomas/
Address:
Thomas Bächler
Lehrstuhl B für Mathematik
RWTH Aachen
Templergraben 64
52062 Aachen
Germany

Mohamed Barakat
Email: mohamed.barakat@uni-siegen.de
Homepage: https://mohamed-barakat.github.io
Address:
Walter-Flex-Str. 3
57072 Siegen
Germany

Florian Diebold
Email: diebold@mathematik.uni-kl.de
Address:
Department of Mathematics
University of Kaiserslautern
67653 Kaiserslautern
Germany

Sebastian Gutsche
Email: gutsche@mathematik.uni-siegen.de
Homepage: https://sebasguts.github.io
Address:
Department Mathematik
Universität Siegen
Walter-Flex-Straße 3
57072 Siegen
Germany

Markus Lange-Hegermann
Email: markus.lange-hegermann@hs-owl.de
Homepage: https://www.th-owl.de/eecs/fachbereich/team/markus-lange-hegermann/
Address:
Markus Lange-Hegermann
Hochschule Ostwestfalen-Lippe
Liebigstraße 87
32657 Lemgo
Germany

Vinay Wagh
Email: waghoba@gmail.com
Homepage: http://www.iitg.ernet.in/vinay.wagh/
Address:
E-102, Department of Mathematics,
Indian Institute of Technology Guwahati,
Guwahati, Assam, India.
PIN: 781 039.
India

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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