appendix.xml GradedRingForHomalg package documentation Mohamed Barakat Markus Lange-Hegermann
Copyright (C) 2010, Mohamed Barakat, University of Kaiserslautern Markus Lange-Hegermann, RWTH-Aachen University
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<Appendix Label="FileOverview">
<Heading>Overview of the &GradedRingForHomalg; Package Source Code</Heading>
This appendix is included in the documentation to shine some light
on the mathematical backgrounds of this Package. Neither is it
needed to work with this package nor should the methods presented
here be called directly. The functions documented here are entries
of the so called ring table and not to be called directly. There are
higher level methods in declared and installed in
&MatricesForHomalg;, which call this functions
(&see; <C>?MatricesForHomalg:The Basic Matrix Operations</C>).
<Section Label="homalgTable:Generic">
<Heading>The generic Methods</Heading>
We will present some methods as an example, to show the idea:
<#Include Label="BasisOfRowModule">
<#Include Label="DecideZeroRows">
<#Include Label="SyzygiesGeneratorsOfRows">
</Section>
<Section Label="GradedRing:Tools">
<Heading>Tools</Heading>
The package &GradedRingForHomalg; also implements tool
functions. These are referred to from &MatricesForHomalg;
automatically. We list the implemented methods here are and refer
to the &MatricesForHomalg; documentation
(&see; <C>?MatricesForHomalg: The Matrix Tool Operations</C>
and <C>?MatricesForHomalg:RingElement</C>) for details. All tools
functions from &MatricesForHomalg; not listed here are also
supported by fallback tools.
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