Maximal ideal of subalgebra over a field
49521
In an extension of finitely generated $k$-algebras the contraction of a maximal ideal is also maximal
29126
Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
587
Ideal Generated by the Union of Two Ideals
150206
Every finitely generated algebra over a field is a Jacobson ring
112045
A property of minimal prime ideal
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
97605
Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal
3129
A commutative ring is a field iff the only ideals are $(0)$ and $(1)$
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
144245
Shorter proof of $R/I$ is a field if and only if $I$ is maximal
93723
Find all the maximal ideals in the ring $\mathbb{R}[x]$.
1719
Ideals in the ring of Gaussian integers
43889
Prove that $u-i$ is a maximal ideal of $\frac {\Bbb C[X,Y]} {\left (X^2+Y^2-1 \right )}.$
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
133975
Localising a polynomial ring and non-maximal prime ideal
116000
Prove that prime ideals of a finite ring are maximal
45962
Show that any prime ideal from such a ring is maximal.