Proving Spec(A) is Quasi-Compact/definition of sum of ideals
29474
Compactness of $\operatorname{Spec}(A)$
48162
Is the subset $[0, \sqrt2] ∩\mathbb{Q} ⊂ \mathbb{Q}$ closed, bounded, compact?
144572
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
114193
On the absolute norm of an ideal
113152
Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain
146801
Primary decomposition of an ideal
81743
Prime ideals in $C[0,1]$
26563
Help completing a proof regarding an infinite family of nested closed subsets in a compact metric space
27766
Comaximal ideals in a commutative ring
63529
How to show that this set is compact in $\ell^2$
65358
Prove $X$ is compact iff for each family $\{ F_\alpha\}_{\alpha\in I}$ of closed subsets of $X$ with the FIP, we have $\cap F_\alpha\neq\varnothing$.
71916
Quasi-components and components coincide for compact Hausdorff spaces
29744
Compactness and axiomatisability
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
71011
Criteria of compactness of an operator
11109
The ideal generated by a non-compact operator
52966
Rings, ideals and units-proof