prove that a set is a domain
74370
$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$
3543
Prove set is basis for $R^3$
77160
How to prove the cosets are distinct?
34099
Proving that the empty set is unique
157960
How can I prove the existence of two values in a given domain Mean value theorem?
96132
$R$ integral domain : $u\in R^*, a \text{ is prime} \iff au \text{ is prime}$
90590
Prove that the following set is dense
24224
How to prove the ring of Laurent polynomials over a field is a principal ideal domain?
149820
How do you prove the set $G = \{(x, f(x)) \mid x \in \mathbb R\}$ is closed?
139247
Real Analysis - Prove a set is countable
66948
Proving question on sets
17461
Show that a set is dense in $[-1,1]$
116527
Validating a proof for necessary and sufficient conditions on sets A & B such that $P(A) \cup P(B) = P(A\cup B)$
99656
Prove that the set of all algebraic numbers is countable
113152
Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain
141659
Every field is an integral domain
70264
Prove that the inverse image of an open set is open