Difference between revisions of "ApCoCoA-1:BB.HomBBscheme"

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{{Version|1}}
 
<command>
 
<command>
    <title>BB.HomBBscheme</title>
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  <title>BB.HomBBscheme</title>
    <short_description>Compute the defining equations of a homogeneous border basis scheme.</short_description>
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  <short_description>Computes the defining equations of a homogeneous border basis scheme.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BB.HomBBscheme(OO:LIST):IDEAL
 
BB.HomBBscheme(OO:LIST):IDEAL
 
</syntax>
 
</syntax>
    <description>
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  <description>
Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices. The input is a list OO of terms that specify an order ideal. The second element of OO must be a non-constant polynomial. The output is an ideal in the ring <formula>BBS = K[c_{ij}]</formula>.
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Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices.
 
<itemize>
 
<itemize>
   <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
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   <item>@param <em>OO</em> A list of terms representing an order ideal. The second element of <tt>OO</tt> must be a non-constant polynomial.</item>
   <item>@return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring BBS=K[c_{ij}].</item>
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   <item>@return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring <tt>BBS=K[c_{ij}]</tt>.</item>
 
</itemize>
 
</itemize>
    </description>
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  </description>
<types>
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  <types>
<type>list</type>
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    <type>borderbasis</type>
</types>
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  </types>
    <see>BB.BBscheme</see>
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  <see>ApCoCoA-1:BB.BBscheme|BB.BBscheme</see>
    <key>HomBBscheme</key>
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  <key>HomBBscheme</key>
    <key>BB.HomBBscheme</key>
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  <key>BB.HomBBscheme</key>
    <key>borderbasis.HomBBscheme</key>
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  <key>borderbasis.HomBBscheme</key>
    <wiki-category>Package_borderbasis</wiki-category>
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  <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category>
 
</command>
 
</command>

Latest revision as of 09:41, 7 October 2020

This article is about a function from ApCoCoA-1.

BB.HomBBscheme

Computes the defining equations of a homogeneous border basis scheme.

Syntax

BB.HomBBscheme(OO:LIST):IDEAL

Description

Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices.

  • @param OO A list of terms representing an order ideal. The second element of OO must be a non-constant polynomial.

  • @return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring BBS=K[c_{ij}].

BB.BBscheme