1 | initial version |

I am not sure i understand your question, but you may try:

```
sage: R.<x> = PolynomialRing(QQ, 1) ; R
Multivariate Polynomial Ring in x over Rational Field
sage: I = R.ideal(x^2-1) ; I
Ideal (x^2 - 1) of Multivariate Polynomial Ring in x over Rational Field
sage: J = R.ideal(x^2-2) ; J
Ideal (x^2 - 2) of Multivariate Polynomial Ring in x over Rational Field
sage: I.intersection(J)
Ideal (x^4 - 3*x^2 + 2) of Multivariate Polynomial Ring in x over Rational Field
```

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.