resolution(..., SyzygyLimit => ...) -- stop when this number of syzygies are obtained

resolution(..., SyzygyLimit => ...) -- stop when this number of syzygies are obtained

SyzygyLimit -- keyword for an optional argument used with resolution, which specifies that the computation should stop after a certain number of syzygies have computed.

i1 : R = ZZ/101[x,y,z,w];

i2 : M = cokernel matrix {{x*y-z^2,y^2-w^2,w^4}}



o2 = cokernel | xy-z2 y2-w2 w4 |



                            1

o2 : R-module, quotient of R

i3 : res(M,SyzygyLimit => 1)



      1      1

o3 = R  <-- R  <-- 0

                    

     0      1      2



o3 : ChainComplex

i4 : res(M,SyzygyLimit => 2)



o4 = 0



o4 : ChainComplex

i5 : res(M,SyzygyLimit => infinity)



o5 = 0



o5 : ChainComplex

See also:

Default value: infinity -- infinity

Function: resolution -- make a projective resolution

Option name: SyzygyLimit -- stop when this number of syzygies is obtained