query: Find all ring homomorphisms from $\Bbb Q$ to $\Bbb R$
positive_passages.docid: 64025
positive_passages.text: Ring homomorphisms from $\Bbb Q$ into a ring
negative_passages.docid: 2153
negative_passages.text: How to get a homomorphism from $\mathbb{Z}\to G$, for $G$ a non-trivial group?
negative_passages.docid: 66169
negative_passages.text: Ring of order $n$ is isomorphic to $\Bbb Z/n\Bbb Z$, with $n$ square-free
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: 34599
negative_passages.text: Number of ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$.
negative_passages.docid: 28252
negative_passages.text: How many homomorphisms are there from $\Bbb Z_{20}$ onto $\Bbb Z_{8}$? How many are there to $\Bbb Z_{8}$?
negative_passages.docid: 33455
negative_passages.text: Question on group homomorphisms involving the standard Z-basis
negative_passages.docid: 151993
negative_passages.text: Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$
negative_passages.docid: 126644
negative_passages.text: Simple module and homomorphisms
negative_passages.docid: 61334
negative_passages.text: Application of Main Homomorphism Theorem
negative_passages.docid: 30714
negative_passages.text: A question on ring homomorphisms and maximal ideals.
negative_passages.docid: 15909
negative_passages.text: Bijection from $\mathbb R$ to $\mathbb {R^N}$
negative_passages.docid: 112131
negative_passages.text: Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
negative_passages.docid: 137011
negative_passages.text: showing $\psi: R\to \mathbb C$ is ring isomorphism.
negative_passages.docid: 48818
negative_passages.text: Homomorphism of local rings
negative_passages.docid: 134858
negative_passages.text: Abelian Group Homomorphism
negative_passages.docid: 87289
negative_passages.text: Find the multiplicative inverses of all the elements in $\Bbb Z_{16}^\times$