Give an example to show that a factor ring of an integral domain may be a field
95408
Give an example to show that a factor ring of a ring with divisors of 0 may be an integral domain
141659
Every field is an integral domain
31049
If $p$ is an irreducible element of an integral domain $D$, and if $e$ belongs to $D^\ast$ prove that $ep$ is also ireducible
138911
Is $\mathbb R^2$ a field?
34740
Do finite algebraically closed fields exist?
135152
Non-UFD integral domain such that prime is equivalent to irreducible?
85987
Prove that $k[x,y,z,w]/(xy-zw)$, the coordinate ring of $V(xy-zw) \subset \mathbb{A}^4$, is not a unique factorization domain
34990
Ring homomorphism defined on a field
24224
How to prove the ring of Laurent polynomials over a field is a principal ideal domain?
84149
Prove that an infinite ring with finite quotient rings is an integral domain
108896
Prime ideal in a polynomial ring over an integrally closed domain
125568
Construction of $p^n$ field
46565
Show that $\mathbb{Q}(\sqrt{2})$ is a field.
14055
How to show that a finite commutative ring without zero divisors is a field?
74370
$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$
32839
Example of integral domain with infinitely ascending chain of ideals.
151423
Is there a nice description of the field of fractions of the ring of polynomials with integer coefficients?