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# GAP 4 Package ExamplesForHomalg

## ExamplesForHomalg --- Examples for the GAP package homalg

Version 2009.11.09

November 2009

(this manual is still under construction)
This manual is best viewed as an HTML document. The latest version is available online at:
http://homalg.math.rwth-aachen.de/~barakat/ExamplesForHomalg/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/examplesforhomalg

Mohamed Barakat
Email: barakat@mathematik.uni-kl.de
Homepage: http://wwwb.math.rwth-aachen.de/~barakat
Address:
Department of Mathematics,
University of Kaiserslautern,
67653 Kaiserslautern,
Germany

Simon Görtzen
Email: simon.goertzen@rwth-aachen.de
Homepage: http://wwwb.math.rwth-aachen.de/goertzen
Address:
Lehrstuhl B für Mathematik, RWTH Aachen, Templergraben 64, 52056 Aachen, 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

© 2008-2009 by Mohamed Barakat, Simon Goertzen, Markus Lange-Hegermann

This package may be distributed under the terms and conditions of the GNU Public License Version 2.

### Contents

1 Introduction
2 Installation of the ExamplesForHomalg Package
3 Examples
3.1 Spectral Filtrations
3.1-1 ExtExt
3.1-2 Purity
3.1-3 A3_Purity
3.1-4 TorExt-Grothendieck
3.1-5 TorExt
3.1-6 CodegreeOfPurity
3.1-7 HomHom
3.2 Betti Diagrams
3.2-1 Schenck-3.2
3.2-2 Schenck-8.3
3.2-3 Schenck-8.3.3
3.3 Commutative Algebra
3.3-1 Saturate
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