When $(x^m-y^n)$ is a prime ideal in the Ring $R[x,y]$?
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
36150
Ideal in a ring of continuous functions
1719
Ideals in the ring of Gaussian integers
74370
$P$ is a prime ideal of $R$ iff $R/P$ is an integral domain. : $P≠R$
29019
Ideals in direct product of rings
116883
About ideals in a ring which is a $k$ vector space
92071
A maximal ideal is always a prime ideal?
21946
What do prime ideals in $k[x,y]$ look like?
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
146304
prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
155745
Ideals of $\mathbb{Z}[X]$
31585
Primary ideals of $\mathbb{Z}$
81743
Prime ideals in $C[0,1]$
115920
Showing $R$ is a local ring if and only if all elements of $R$ that are not units form an ideal
148788
Polynomial ring ideal. Show that $(f) \cap R_N = (0) \iff f \notin R_N$
9792
Is there an example of a power of prime ideal in a polynomial ring that is not primary?
27766
Comaximal ideals in a commutative ring