[Ideal (y) of Multivariate Polynomial Ring in x, y over Finite Field of size 7, Ideal (x, y^2) of Multivariate Polynomial Ring in x, y over Finite Field of size 7] [Ideal (y) of Multivariate Polynomial Ring in x, y over Finite Field of size 7, Ideal (y, x) of Multivariate Polynomial Ring in x, y over Finite Field of size 7] 
[Ideal (y  z, x  z) of Multivariate Polynomial Ring in x, y, z over Rational Field, Ideal (y + z, x + z) of Multivariate Polynomial Ring in x, y, z over Rational Field] [Ideal (y  z, x  z) of Multivariate Polynomial Ring in x, y, z over Rational Field, Ideal (y + z, x + z) of Multivariate Polynomial Ring in x, y, z over Rational Field] 
