Prove not an integral domain
135699
Questions about a commutative ring with exactly three ideals
8317
Understanding a proof of "If $R$ is an integral domain, then $R[x]$ is an integral domain as well".
74330
$\mathbb{R}^n$ not homeomorphic to open subset of $\mathbb{R}^m$
7828
Proof that an integral domain that is a finite-dimensional $F$-vector space is in fact a field
67383
Prove that $G'$ is not planar.
11710
How to show that $\mathbb{Q}$ is not $G_\delta$
97902
In a integral domain every prime element is irreducible
86537
Prove that an open interval and a closed interval are not homeomorphic
18825
Integrable but not differentiable function
14158
Prove that $R$ is an integral domain $\Leftrightarrow$ $R[x]$ is an integral domain
40041
Proof of Non-Ordering of Complex Field
12189
Prove norm doesn't come from inner product.
121845
Quotient of polynomials, PID but not Euclidean domain?
155604
Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.
49303
In a noetherian integral domain every non invertible element is a product of irreducible elements
107076
Prove $S^1$ is not homeomorphic to $S^2$ using connectedness
141659
Every field is an integral domain