Difference between revisions of "ApCoCoA-1:CharP.GBasisModSquares"

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       <see>GBasis</see>
 
       <see>GBasis</see>
 
     </seealso>
 
     </seealso>
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    <key>heldt</key>
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    <key>char2.gbasismodsquares</key>
 
     <wiki-category>Package_char2</wiki-category>
 
     <wiki-category>Package_char2</wiki-category>
 
   </command>
 
   </command>

Revision as of 08:58, 5 November 2007

Char2.GBasisModSquares

computing a gbasis of a given ideal, intersected with <formula>x^2-x</formula> for all indeterminates x

Syntax

$char2.GBasisModSquares(Ideal):List

Description

This function returns reduced Groebner basis for the ideal, intersected with the ideal, created by <formula>x^2-x</formula> for all indeterminates. If <formula>x^2-x</formula> for

all indeterminates is in the ideal (e.g. the set of zeros is a subset of <formula>\{0,1\}^n</formula>) this method should produce the GBasis much faster!

Please be aware, that this is much more efficient if the term ordering is Lex, DegLex or DegRevLex. Otherwise, first a DegRevLex GBasis is computed and then transformed with the FGLM-algorithm.

See also

FGLM

GBasis