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intersection

intersect lists, ideals, or modules

Syntax
intersection(A: LIST,  B: LIST):  LIST
intersection(A: IDEAL, B: LIST):  LIST
intersection(A: LIST,  B: IDEAL): LIST
intersection(A: IDEAL, B: IDEAL): IDEAL

Description
This function returns the intersection of A and B .

The coefficient ring must be a field.

NOTE: To compute the intersection of ideals corresponding to zero-dimensional schemes, see the commands GBM and HGBM .

Example
/**/  use R ::= QQ[x,y,z];
/**/  intersection(ideal(x,y,z), ideal(x*y));
ideal(x*y)

/**/  intersection(["a","b","c"], ["b","c","d"]);
["b", "c"]
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See Also