3 ms·
A generic homomorphism does not induce any isomorphism to a subset of B that I can think of unless it is already injective. The isomorphism you’re after is rath
by smohare 2y ago
A generic homomorphism does not induce any isomorphism to a subset of B that I can think of unless it is already injective. The isomorphism you’re after is rather from the quotient structure of A mod the kernel to the image.
- alexanderchr 2y agoSimply consider any constant morphism and it is obvious that OPs statement is false. As you say one needs injectivity.