query: maximal ideal of $K[x,y]$ is generated by two elements
positive_passages.docid: 21946
positive_passages.text: What do prime ideals in $k[x,y]$ look like?
negative_passages.docid: 67203
negative_passages.text: Complement of maximal multiplicative set is a prime ideal
negative_passages.docid: 89313
negative_passages.text: Maximal ideals of polynomial rings in infinitely many variables
negative_passages.docid: 96071
negative_passages.text: How to show that a prime ideal of height 2 can’t necessarily be generated by 2 elements? (Hartshorne exercise I.1.11)
negative_passages.docid: 112150
negative_passages.text: Prove that the ideal $(x^2 + x+2)$ is maximal in $F_3[x]$
negative_passages.docid: 52602
negative_passages.text: $K[X^2,X^3]\subset K[X]$ is a Noetherian domain and all its prime ideals are maximal
negative_passages.docid: 116000
negative_passages.text: Prove that prime ideals of a finite ring are maximal
negative_passages.docid: 87780
negative_passages.text: Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
negative_passages.docid: 130466
negative_passages.text: Proving every prime ideal is maximal in a finite dimensional ring over a field.
negative_passages.docid: 155745
negative_passages.text: Ideals of $\mathbb{Z}[X]$
negative_passages.docid: 27167
negative_passages.text: Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
negative_passages.docid: 97605
negative_passages.text: Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal
negative_passages.docid: 20877
negative_passages.text: The set of all nilpotent elements is an ideal
negative_passages.docid: 122012
negative_passages.text: The ideal $(x,y)$ is not a free $K[x,y]$-module
negative_passages.docid: 104782
negative_passages.text: Polynomial irreducible - maximal ideal
negative_passages.docid: 104486
negative_passages.text: Ideal in $\mathbb Z[x]$ which is not two-generated
negative_passages.docid: 146714
negative_passages.text: Rees algebra of a monomial ideal