# CoCoA:HIntersectionList

From ApCoCoAWiki

## HIntersectionList

intersection of ideals

### Description

The function `HIntersectionList` applies the function `HIntersection`

to the elements of a list, i.e., `HIntersectionList([I_1,...,I_n])` is

the same as `HIntersection(I_1,...,I_n)`.

The coefficient ring must be a field.

#### Example

L := [Ideal(x-z,y-2z),Ideal(x-2z,y-z)]; HIntersectionList(L); Ideal(x + y - 3z, y^2 - 3yz + 2z^2) -------------------------------

### Syntax

HIntersectionList(L:LIST of IDEAL):IDEAL

<type>groebner</type> <type>groebner-basic</type> <type>ideal</type> <type>list</type>