Prime and Maximal Ideals of $\mathbb{Z}_2 \times \mathbb{Z}_4$
90889
Prime ideals in a finite direct product of rings
62917
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
24203
Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
81743
Prime ideals in $C[0,1]$
94819
Prove that $\frac{\mathbb{C}[x,y]}{\langle x^2-y^2-1\rangle}$ is an integral domain such that all the nonzero prime ideals are maximal.
109596
Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
146304
prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
116000
Prove that prime ideals of a finite ring are maximal
111114
Prove that an ideal in $k[x,y]$ is a prime ideal
17239
Find all ideals of ${\mathbb{Z}_n}$
69352
Prove that $I= \{a+bi \in ℤ[i] : a≡b \pmod{2}\}$ is an maximal ideal of $ℤ[i]$.
109199
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
157876
If every prime ideal is maximal, what can we say about the ring?
67203
Complement of maximal multiplicative set is a prime ideal
124151
Finite ring extension and number of maximal ideals
1719
Ideals in the ring of Gaussian integers