query: Example of a non-isomorphic map from $D^{-1}R$-modules
positive_passages.docid: 145933
positive_passages.text: Localization commutes with Hom for finitely-generated modules
negative_passages.docid: 142699
negative_passages.text: Is $R/N(R)$ a faithfully flat $R$-module?
negative_passages.docid: 123130
negative_passages.text: Showing an isomorphism between exterior products of a free module
negative_passages.docid: 142174
negative_passages.text: Nonexistence of an injective $C^1$ map between $\mathbb R^2$ and $\mathbb R$
negative_passages.docid: 86015
negative_passages.text: $\mathbb Q[x]/(x^2+1)$ is not isomorphic to $\mathbb Q[x]/(x^2+2)$
negative_passages.docid: 67199
negative_passages.text: Isomorphism $H_n(D^n, S^{n - 1};A)$ and $A$
negative_passages.docid: 45179
negative_passages.text: When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
negative_passages.docid: 70872
negative_passages.text: Isomorphism of quotient modules implies isomorphism of submodules?
negative_passages.docid: 8417
negative_passages.text: Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
negative_passages.docid: 92420
negative_passages.text: Characteristic of  a Non-unital Integral Ring
negative_passages.docid: 75641
negative_passages.text: Is there a (f.g., free) module isomorphic to a quotient of itself?
negative_passages.docid: 134686
negative_passages.text: $D_3\oplus D_4$ not isomorphic to $D_{24}$
negative_passages.docid: 8587
negative_passages.text: What is an example of two k-algebras that are isomorphic as rings, but not as k-algebras?
negative_passages.docid: 149973
negative_passages.text: Showing the following coordinate rings are not isomorphic
negative_passages.docid: 101095
negative_passages.text: Constructing an example s.t. $\operatorname{Hom}_R(M,N)$ is not finitely generated
negative_passages.docid: 117131
negative_passages.text: Canonical Isomorphism Between $\mathbf{V}$ and $(\mathbf{V}^*)^*$
negative_passages.docid: 108955
negative_passages.text: Showing $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$