query: All ring homomorphisms from $\mathbb{Z}[X]$ to $\mathbb{Z}$
positive_passages.docid: 151993
positive_passages.text: Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$
negative_passages.docid: 146341
negative_passages.text: Finding all ring homomorphisms from a field to itself
negative_passages.docid: 131143
negative_passages.text: Homomorphism extensions over finite ring extensions
negative_passages.docid: 93169
negative_passages.text: Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
negative_passages.docid: 34599
negative_passages.text: Number of ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$.
negative_passages.docid: 91129
negative_passages.text: Can there be an onto homomorphism from a ring without unity to a ring with unity?
negative_passages.docid: 147667
negative_passages.text: Polynomial ring isomorphisms
negative_passages.docid: 82559
negative_passages.text: Showing two ring homomorphisms that agree on the integers must agree on the rationals
negative_passages.docid: 64025
negative_passages.text: Ring homomorphisms from $\Bbb Q$ into a ring
negative_passages.docid: 141124
negative_passages.text: Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
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: 30714
negative_passages.text: A question on ring homomorphisms and maximal ideals.
negative_passages.docid: 99423
negative_passages.text: Is it true every ideal of $\mathbb{Z}[x]$ is finitely generated?
negative_passages.docid: 112131
negative_passages.text: Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
negative_passages.docid: 76391
negative_passages.text: What are all the homomorphisms between the rings $\mathbb{Z}_{18}$ and $\mathbb{Z}_{15}$?
negative_passages.docid: 81982
negative_passages.text: Is $\mathbb{Z}[x]$ a principal ideal domain?
negative_passages.docid: 120035
negative_passages.text: Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$