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SyzOfGens

Syntax

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

Summary

syzygy module for a given set of generators

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 the current 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.

The coefficient ring must be a field.

example

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