S is saturated if and only if R\S, the complement of S in R, is the union of some (possibly empty) family of prime ideals of R
91180
Show $R \setminus S$ is a union of prime ideals
108896
Prime ideal in a polynomial ring over an integrally closed domain
60223
Two principal ideals coincide if and only if their generators are associated
120149
Is the complement of a prime ideal closed under both addition and multiplication?
154239
Can a prime in a Dedekind domain be contained in the union of the other prime ideals?
22131
Prove if nonempty $K \subset\mathbb{R}$ is compact, then both sup $K$ and inf $K$ exist and are elements of $K$.
99715
Proper ideal and units proof
41629
Structure of ideals in the product of two rings
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
115695
If $X$ is a connected subset of a connected space $M$ then the complement of a component of $M \setminus X$ is connected
139334
Determining the existence or non-existence of Non Trivial Ideals of $L(V)$
110984
Ideals and prime ideals in a commutative ring.
29126
Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
83050
Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.
106550
The bijection between homogeneous prime ideals of $S_f$ and prime ideals of $(S_f)_0$
74370
$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$
56800
Intersection of prime ideals