# Package sagbi/SB.GetLTSA

From ApCoCoAWiki

< Package sagbi

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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