Rescuscitaton of "Values of c for which the given quotient ring is a field."
101151
Values of c for which the given quotient ring is a field.
3129
A commutative ring is a field iff the only ideals are $(0)$ and $(1)$
42871
Quotient of a local regular ring
144245
Shorter proof of $R/I$ is a field if and only if $I$ is maximal
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
25891
GCD in polynomial rings with coefficients in a field extension
112556
When is $F(\sqrt c)$ a field?
137011
showing $\psi: R\to \mathbb C$ is ring isomorphism.
83009
Showing that $R(x)$ is a proper subset of $R((x))$ if $R$ is a field
153589
Integral basis of an extension of number fields
142212
Let $q$ be a prime congruent to 3 mod 4, prove the quotient ring $\mathbb{Z}[i]/(q)$ is a field with $q^2$ elements
124511
The set of algebraic numbers is a field.
50172
Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
102316
why $(r+I)(s+I) = rs + I$ in the quotient ring $R ?$
9794
Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime
119305
Is the splitting field equal to the quotient $k[x]/(f(x))$ for finite fields?
39576
Quotient ring being isomorphic to the initial ring