Difference between revisions of "ApCoCoA-1:CharP.GBasisModSquares"
From ApCoCoAWiki
m (fixing fglm link) |
KHiddemann (talk | contribs) m (add examples later) |
||
| Line 1: | Line 1: | ||
<command> | <command> | ||
<title>$char2.GBasisModSquares</title> | <title>$char2.GBasisModSquares</title> | ||
| − | <short_description>computing a gbasis of | + | <short_description>computing a gbasis of a given ideal, intersected with x^2-x for all indeterminates x</short_description> |
<syntax> | <syntax> | ||
$char2.GBasisModSquares(Ideal):List | $char2.GBasisModSquares(Ideal):List | ||
| Line 10: | Line 10: | ||
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 | 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. | transformed with the FGLM-algorithm. | ||
| − | |||
| − | |||
| − | |||
| − | |||
</description> | </description> | ||
<seealso> | <seealso> | ||
Revision as of 15:30, 9 October 2007
$char2.GBasisModSquares
computing a gbasis of a given ideal, intersected with x^2-x 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 x^2-x for all indeterminates. If x^2-x for
all indeterminates is in the ideal (e.g. the set of zeros is a subset of {0,1}^n) 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
