Isomorphic as affine schemes v.s. isomorphic as affine $k$-schemes
8587
What is an example of two k-algebras that are isomorphic as rings, but not as k-algebras?
158232
Tensor product of a module with an ideal is isomorphic to their standard product
146356
To prove two sets are isomorphic is it sufficient to find 2 injections or 2 surjections?
79972
Determining whether two $k$-chromatic graphs are isomorphic (respecting vertex coloration)
99707
free module implies surjective map of affine schemes
39576
Quotient ring being isomorphic to the initial ring
6385
Minimal counterexamples of the isomorphism problem for integral group rings
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
145700
Module isomorphic to second dual
65333
Weighted projective space and projective space are isomorphic
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
108044
Isomorphic extensions of $\mathbb Z_3$ by $\mathbb Z_3 \times \mathbb Z_3$ which are not equivalent
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
53531
Birational and faithfully flat $\implies$ isomorphism
123130
Showing an isomorphism between exterior products of a free module
70658
Isomorphism between quotient modules
29359
Localisation isomorphic to a quotient of polynomial ring