query: Kernel of homomorphism $\mathbb{K}[X,Y]\rightarrow \mathbb{K}[t^2,t^3]$, $X\mapsto t^2$, $Y\mapsto t^3$
positive_passages.docid: 23099
positive_passages.text: Verifying that the ideal $(x^3-y^2)$ is prime
negative_passages.docid: 60760
negative_passages.text: Ring homomorphism and characteristic
negative_passages.docid: 13717
negative_passages.text: Homomorphisms from $S_4$ to $\mathbb Z_2$
negative_passages.docid: 151705
negative_passages.text: $SL_n(\mathbb R)$ is a subgroup of kernel of $f\in$ Hom$(GL_n(\mathbb R), A)$, $A$ is an abelian group.
negative_passages.docid: 143831
negative_passages.text: Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
negative_passages.docid: 60655
negative_passages.text: $\ker T\subset \ker S\Rightarrow S=rT$ when $S$ and $T$ are linear functionals
negative_passages.docid: 25260
negative_passages.text: Extension of a morphism $k^*\rightarrow X$ to $\mathbb{P}^1\rightarrow \overline{X}$
negative_passages.docid: 18343
negative_passages.text: Counting homomorphisms between $\Bbb Z$ and $\Bbb Z_n$ and also between $\Bbb Z_n$ and $\Bbb Q$
negative_passages.docid: 35777
negative_passages.text: $\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
negative_passages.docid: 131503
negative_passages.text: Image of dual map is annihilator of kernel
negative_passages.docid: 126930
negative_passages.text: Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
negative_passages.docid: 42552
negative_passages.text: Localisation is isomorphic to a quotient of polynomial ring
negative_passages.docid: 97605
negative_passages.text: Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal
negative_passages.docid: 89415
negative_passages.text: Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
negative_passages.docid: 34714
negative_passages.text: What is the relationship between $\ker(A), \ker(A^2), \ldots, \ker(A^n)$?
negative_passages.docid: 156858
negative_passages.text: Kernel of powers of a normal operator
negative_passages.docid: 29453
negative_passages.text: An epimorphism from $S_{4}$ to $S_{3}$ having the kernel isomorphic to Klein four-group