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SyzOfGens

syzygy module for a given set of generators
Syntax 

SyzOfGens(M:IDEAL, MODULE, or TAGGED("Quotient")):MODULE

Description
If M is an ideal or module, this function calculates the syzygy module for the given set of generators of M. If M is a quotient of a ring by an ideal I or a quotient of a free module by a submodule N, then this function calculates the syzygy module for the given set of generators of I or N, respectively.

SyzOfGens(I) is the same as Syz(Gens(I)).

The coefficient ring must be a field.

Example 
  Use R ::= QQ[x,y];
  I := Ideal(x,y,x+y);
  SyzOfGens(I);
Module([1, 1, -1], [y, -x, 0])
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See Also