query: The number of nonzero ring homomorphisms $\mathbb Z_{30}\rightarrow \mathbb Z_{42}$
positive_passages.docid: 5699
positive_passages.text: The number of ring homomorphisms from $\mathbb{Z}_m$ to $\mathbb{Z}_n$
negative_passages.docid: 63568
negative_passages.text: Ring with finitely many zerodivisors
negative_passages.docid: 141124
negative_passages.text: Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
negative_passages.docid: 78053
negative_passages.text: There are at least three mutually non-isomorphic rings with $4$ elements?
negative_passages.docid: 13764
negative_passages.text: Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
negative_passages.docid: 75315
negative_passages.text: How to prove that homomorphism from field to ring is injective or zero?
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: 48818
negative_passages.text: Homomorphism of local rings
negative_passages.docid: 124864
negative_passages.text: A not free $\mathbb{Z}$-module
negative_passages.docid: 121244
negative_passages.text: Homomorphisms and automorphisms on polynomial rings
negative_passages.docid: 7938
negative_passages.text: Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$
negative_passages.docid: 151993
negative_passages.text: Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$
negative_passages.docid: 115973
negative_passages.text: Computing the number of nonisomorphic finite abelian groups of order $n$
negative_passages.docid: 91222
negative_passages.text: Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
negative_passages.docid: 6171
negative_passages.text: Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
negative_passages.docid: 7303
negative_passages.text: How many idempotent elements does the ring ${\bf Z}_n$ contain?
negative_passages.docid: 45576
negative_passages.text: A surjective homomorphism between finite free modules of the same rank