Show that any upper bounded subset of $\mathbb{Z}$ has a unique maximal element
111251
Every non-empty subset of the integers which is bounded above has a largest element.
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
92639
Prove that the family of open sets in $\mathbb{R}$ has cardinality equal to $2^{\aleph_0}$
68202
Must an ideal generated by an irreducible element be a maximal ideal?
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
113668
Uncountable chain of subsets of $\mathbb N$
69499
Let $A\subset\mathbb{R}$ a measurable and bounded set. Show that exists for each $0\alpha$.
129371
Maximal ideals in the ring of real functions on $[0,1]$
153107
Does every connected component of $\{z : |P(z)|<1 \}$ contain a zero?
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
154837
mapping properties of $(1−z)^i$
80827
Let $A$ be a nonempty subset of $\mathbb{R}$. Prove...
144362
The construction of a Vitali set
92583
Prove that $N(\gamma) = 1$ if, and only if, $\gamma$ is a unit in the ring $\mathbb{Z}[\sqrt{n}]$
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups