Noetherian Ring and Homomorphic Image
44396
Noetherian Ring under a Homomorphism / homomorphic function / map
47086
Quotient rings and free modules
97009
Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
74259
Why is the localization of a commutative Noetherian ring still Noetherian?
93670
A surjective endomorphism (of a Noetherian ring) is injective.
47692
Homomorphic image of a Sylow p-subgroup is Sylow p-subgroup.
49303
In a noetherian integral domain every non invertible element is a product of irreducible elements
77453
A zero-dimensional ring is Noetherian?
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
64025
Ring homomorphisms from $\Bbb Q$ into a ring
143429
Kernel of ring homomorphism $k[X,Y] \rightarrow k[t^2, t^3]$
157378
On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions
67706
If $R$ is a Noetherian ring then $R[[x]]$ is also Noetherian
59687
Suppose $M$ is a finitely generated module over $R$ where $R$ is a Noetherian ring. Prove that $M$ is a noetherian module.
32443
Find the kernel of a ring homomorphism $f(x)\to f(\sqrt 2)$
91129
Can there be an onto homomorphism from a ring without unity to a ring with unity?
27823
Is the global section ring of a Noetherian Scheme Noetherian as well?