Inverse image of a maximal ideal under a morphism of finitely generated $\mathbb{C}$-algebras.
44065
If $B$ is finitely generated as a $k$-algebra, and $\phi:A\to B$ is a $k$-algebra map, is $\phi^{-1}(M)$ maximal for any maximal $M\subset B$?
114267
If $S$ is a finitely generated graded algebra over $S_0$, $S_{(f)}$ is finitely generated algebra over $S_0$?
155745
Ideals of $\mathbb{Z}[X]$
109688
Zero-dimensional ideals and finite-dimensional algebras
111996
Maximal and Prime Ideal in Z
99567
Proving that an inverse ring homomorphism of an ideal is an ideal?
90314
Maximal ideals in $R[x]$
115347
Showing that the fiber of a morphism of schemes over a point is homeomorphic to the preimage
45270
Surjective endomorphisms of finitely generated modules are isomorphisms
104377
Maximal Ideals in Ring of Continuous Functions
42941
Pair of adjoint functors and showing that two certain maps are inverses
57198
How to show that a valuation ring has a unique maximal ideal?
72350
Constructing Idempotent Generator of Idempotent Ideal
97009
Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
16643
A slick proof that a field which is finitely generated as a ring is finite
104782
Polynomial irreducible - maximal ideal
144572
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma