query: Prove that a regular map is not an isomorphism
positive_passages.docid: 19346
positive_passages.text: Isomorphism of affine varieties
negative_passages.docid: 44361
negative_passages.text: An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
negative_passages.docid: 137285
negative_passages.text: Prove $\mathbb{Z}_2 \times \mathbb{Z}_2$ is not isomorphic to $\mathbb{Z}_4$
negative_passages.docid: 151637
negative_passages.text: How do we prove that this set is not manifold?
negative_passages.docid: 62711
negative_passages.text: Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
negative_passages.docid: 30597
negative_passages.text: Morphism that is not a mapping
negative_passages.docid: 78804
negative_passages.text: Proving that $\mathscr L=\{0^n \big|\text{n is the square of a natural number }\}$ is non regular using the pumping lemma
negative_passages.docid: 92493
negative_passages.text: If $G$ is non-abelian, then $Inn(G)$ is not a normal subgroup of the group of all bijective mappings $G \to G$
negative_passages.docid: 63701
negative_passages.text: An example of a regular function over an open set
negative_passages.docid: 104562
negative_passages.text: Prove that $\mathbb{Z}$ is not isomorphic to additive group of any vector space over any field.
negative_passages.docid: 94747
negative_passages.text: Show that the rings $2\mathbb{Z}$ and $3\mathbb{Z}$ are not isomorphic.
negative_passages.docid: 117897
negative_passages.text: A homomorphism induces a continuous map from ${\rm Spec}(A') \to {\rm Spec}(A)$.
negative_passages.docid: 132386
negative_passages.text: Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic
negative_passages.docid: 37904
negative_passages.text: Prove that the multiplicative groups $\mathbb{R} - \{0\}$ and $\mathbb{C} - \{0\}$ are not isomorphic.
negative_passages.docid: 58009
negative_passages.text: How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$
negative_passages.docid: 115350
negative_passages.text: An example of a Banach space isomorphic but not isometric to a dual Banach space
negative_passages.docid: 26749
negative_passages.text: $\mathbb{Z}[X]/(X^2-1)$ is not isomorphic with $\mathbb{Z}\times \mathbb{Z}$