# Seria 5 - zadanie 5

## 3101 days ago by netkuba

RR.<x> = PolynomialRing(QQ, 1, order='lex') I = (100*x^2 - 200*x + 100)*R cpdI = I.complete_primary_decomposition() print cpdI
 ```[(Ideal (x^2 - 2*x + 1) of Multivariate Polynomial Ring in x, y, z over Rational Field, Ideal (x - 1) of Multivariate Polynomial Ring in x, y, z over Rational Field)]```
RR.<x,y,z> = PolynomialRing(QQ, 3, order='lex') I = (x*y,x-y*z)*RR cpdI = I.complete_primary_decomposition() print cpdI
 ```[(Ideal (y^2, x - y*z) of Multivariate Polynomial Ring in x, y, z over Rational Field, Ideal (y, x) of Multivariate Polynomial Ring in x, y, z over Rational Field), (Ideal (z, x) of Multivariate Polynomial Ring in x, y, z over Rational Field, Ideal (z, x) of Multivariate Polynomial Ring in x, y, z over Rational Field)]```
RR.<x,y,z> = PolynomialRing(QQ, 3, order='lex') I = (x*x, x*z, y*x, y*z)*RR cpdI = I.complete_primary_decomposition() print cpdI
 ```[(Ideal (z, x) of Multivariate Polynomial Ring in x, y, z over Rational Field, Ideal (z, x) of Multivariate Polynomial Ring in x, y, z over Rational Field), (Ideal (y, x) of Multivariate Polynomial Ring in x, y, z over Rational Field, Ideal (y, x) of Multivariate Polynomial Ring in x, y, z over Rational Field), (Ideal (z, y, x^2) of Multivariate Polynomial Ring in x, y, z over Rational Field, Ideal (z, y, x) of Multivariate Polynomial Ring in x, y, z over Rational Field)]```

 ```Traceback (click to the left of this block for traceback) ... TypeError: Cannot call Singular function 'primdecSY' with ring parameter of type ''```