query: Does $M$ finitely presented and $N$ finitely generated imply Hom$_R(M,N)$ f.g. when $R$ is not Noetherian?
positive_passages.docid: 74974
positive_passages.text: When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
negative_passages.docid: 55243
negative_passages.text: When is the ring of continuous functions Noetherian?
negative_passages.docid: 87534
negative_passages.text: Finitely generated group which is not finitely presented
negative_passages.docid: 109267
negative_passages.text: Describe explicitly $\operatorname{Hom}_{\mathbb{Z}}(\mathbb{Z}_n, \mathbb{Z}_m)$.
negative_passages.docid: 142699
negative_passages.text: Is $R/N(R)$ a faithfully flat $R$-module?
negative_passages.docid: 75970
negative_passages.text: $\mathbb Z[1/2]$ is not finitely generated?
negative_passages.docid: 104486
negative_passages.text: Ideal in $\mathbb Z[x]$ which is not two-generated
negative_passages.docid: 118898
negative_passages.text: Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
negative_passages.docid: 127044
negative_passages.text: Prove that a finitely-generated free module has a finite basis
negative_passages.docid: 114267
negative_passages.text: If $S$ is a finitely generated graded algebra over $S_0$, $S_{(f)}$ is finitely generated algebra over $S_0$?
negative_passages.docid: 4790
negative_passages.text: Generators of a finitely generated free module over a commutative ring
negative_passages.docid: 9806
negative_passages.text: $M$ finitely generated if submodule and quotient are finitely generated.
negative_passages.docid: 51578
negative_passages.text: Noetherian ring with finitely many height $n$ primes
negative_passages.docid: 34740
negative_passages.text: Do finite algebraically closed fields exist?
negative_passages.docid: 80879
negative_passages.text: Can a quotient field ever be finitely generated as an algebra?
negative_passages.docid: 26368
negative_passages.text: Finitely generated graded modules over $K[x]$
negative_passages.docid: 122189
negative_passages.text: Show that $M[x]$ is a Noetherian $A[x]$-module.