Characterizing the field of fractions of $\mathbb Q[x,y]/(x^2+y^2-1)$.
94579
$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain, and its field of fractions is isomorphic to $\mathbb Q(t)$
7011
Integral domain with fraction field equal to $\mathbb{R}$
6984
Inverting $a+b\sqrt{2}$ in the field $\Bbb Q(\sqrt{2})$
138911
Is $\mathbb R^2$ a field?
148876
What is the meaning of $\mathbf{Q}(\sqrt{2},\sqrt{3})$
39642
Efficient way to find $[\mathbb{Q}(\sqrt{5}, \sqrt{3}, \sqrt{2}): \mathbb{Q}(\sqrt{3}, \sqrt{2})]$
17859
Showing $F[x,y]/(ax^2+by^2-1)$ is a Dedekind domain
86807
The units of $\mathbb Z[\sqrt{2}]$
42332
Existence of multiplicative inverse in field $\mathbb{Q}(\sqrt{d})$
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
101164
Show that $B \cong \mathbb Z /2\mathbb Z$ for a Boolean field B
127002
Prove that for a nonzero element $a$ of a field $F$ with $q$ elements $a^{-1} = a^{q-2}$
133636
Is $\mathbb Z[X]/(X^2-1)$ a domain?
50172
Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
38549
$\mathbb{Q}(\sqrt{n}) \cong \mathbb{Q}(\sqrt{m})$ iff $n=m$
46565
Show that $\mathbb{Q}(\sqrt{2})$ is a field.
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$