A finite dimensional algebra over a field has only finitely many prime ideals and all of them are maximal
17404
Artinian affine $K$-algebra
49521
In an extension of finitely generated $k$-algebras the contraction of a maximal ideal is also maximal
111287
number of prime ideals in algebraic integers
5360
Ideal contained in a finite union of prime ideals
6307
maximal ideal not containing some expression
108896
Prime ideal in a polynomial ring over an integrally closed domain
104782
Polynomial irreducible - maximal ideal
157876
If every prime ideal is maximal, what can we say about the ring?
68202
Must an ideal generated by an irreducible element be a maximal ideal?
89313
Maximal ideals of polynomial rings in infinitely many variables
16643
A slick proof that a field which is finitely generated as a ring is finite
92071
A maximal ideal is always a prime ideal?
149412
Every prime ideal of a finitely generated $\mathbb{R}$-algebra is an intersection of maximal ideals?
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
64118
Number of elements in a finite $\sigma$-algebra
78380
Dedekind domain with a finite number of prime ideals is principal
34807
Localization at finitely many minimal prime ideals