New posts in Ring Homomorphism

A surjective homomorphism which is not an isomorphism for rings (Using basic algebra)

Example to show that $\mathbb Z^3$ is not a quotient of $\mathbb Z[X]$

The existence of an algebra homomorphism between $\mathcal{M}_n({\mathbb{K}})$ and $\mathcal{M}_s(\mathbb{K})$ implies $n | s$

Does there exist a nonzero ring homomorphism from the ring of square rational matrices to the ring of rational numbers?

Homomorphism of a set to its power set.

"distributive property" vs. "ring homomorphism": comparing definitions

Can ring homomorphisms be characterized as ring maps such that preimage of any ideal is an ideal?

Can there be an onto homomorphism from a ring without unity to a ring with unity?

Counter-example: If $J$ is prime then $f^{-1} (J) $ is prime. $f$ need not be unital.

How do ring homomorphism R → ℤ correspond to prime ideals of R?