Package sagbi/SB.GetLTSA: Difference between revisions
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<short_description>This function returns the leading term subalgebra of a given Subalgebra.</short_description> | <short_description>This function returns the leading term subalgebra of a given Subalgebra.</short_description> | ||
<syntax>SB.GetLTSA(ref S: TAGGED( | <syntax>SB.GetLTSA(ref S: TAGGED("$apcocoa/sagbi.Subalgebra")): TAGGED("$apcocoa/sagbi.Subalgebra")</syntax> | ||
<description> | <description> | ||
Returns the leading term subalgebra of <tt>S</tt>, i.e. the subalgebra generated by all terms appearing as the leading term of a polynomial in <tt>S</tt>. <par/> | Returns the leading term subalgebra of <tt>S</tt>, i.e. the subalgebra generated by all terms appearing as the leading term of a polynomial in <tt>S</tt>. <par/> | ||
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<example> | <example> | ||
Use R ::= QQ[x,y,z]; | Use R ::= QQ[x,y,z]; | ||
S := SB.Subalgebra(R,[x^2,y | S := SB.Subalgebra(R,[x^2,x^2+y]); | ||
PrintLn SB.GetLTSA(ref S); | PrintLn SB.GetLTSA(ref S); | ||
-- SubalgebraWithID(2, QQ[x^2 | -- SubalgebraWithID(2, QQ[y, x^2]) of RingWithID(1311, "QQ[x,y,z]") | ||
PrintLn SB.GetLTSA(ref S); | PrintLn SB.GetLTSA(ref S); | ||
-- SubalgebraWithID(3, QQ[x^2 | -- SubalgebraWithID(3, QQ[y, x^2]) of RingWithID(1311, "QQ[x,y,z]")</example> | ||
</description> | </description> | ||
Latest revision as of 13:21, 29 October 2020
| This article is about a function from ApCoCoA-2. |
SB.GetLTSA
This function returns the leading term subalgebra of a given Subalgebra.
Syntax
SB.GetLTSA(ref S: TAGGED("$apcocoa/sagbi.Subalgebra")): TAGGED("$apcocoa/sagbi.Subalgebra")
Description
Returns the leading term subalgebra of S, i.e. the subalgebra generated by all terms appearing as the leading term of a polynomial in S.
Note: Calling the function more than once results in equal subalgebras with different IDs.
@param S A subalgebra
@return the leading term subalgebra of S
Example
Use R ::= QQ[x,y,z]; S := SB.Subalgebra(R,[x^2,x^2+y]); PrintLn SB.GetLTSA(ref S); -- SubalgebraWithID(2, QQ[y, x^2]) of RingWithID(1311, "QQ[x,y,z]") PrintLn SB.GetLTSA(ref S); -- SubalgebraWithID(3, QQ[y, x^2]) of RingWithID(1311, "QQ[x,y,z]")
See also
Package sagbi/SB.GetTruncSAGBI
