Height and minimal number of generators of prime ideal in polynomial ring
96071
How to show that a prime ideal of height 2 can’t necessarily be generated by 2 elements? (Hartshorne exercise I.1.11)
110022
Showing prime and maximal ideal
57884
Number of monic irreducible polynomials of prime degree $p$ over finite fields
68202
Must an ideal generated by an irreducible element be a maximal ideal?
9792
Is there an example of a power of prime ideal in a polynomial ring that is not primary?
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
62917
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
77862
Question about fields and quotients of polynomial rings
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
103518
If $J$ is the ideal generated by all idempotents in a prime ideal, then $R/J$ has only trivial idempotents
10266
Minimal polynomial reducible modulo every prime $p$
92585
If krull dimension is $0$, then all prime ideals are maximal?
18406
An ideal whose radical is maximal is primary
4790
Generators of a finitely generated free module over a commutative ring
35222
Characterizing units in polynomial rings
102341
Primary decomposition of a monomial ideal
5360
Ideal contained in a finite union of prime ideals