How to prove that a given ideal is a principal ideal?
512
Finding generator for the ideal generated by $a$ and $b$ in an euclidean domain
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )
111307
If ideal $I$ of domain $R$ is free $R$-module, then $I$ is principal ideal.
83050
Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
89056
Intuitive understanding of ideal $I = (x+1,x^2+1)$ and the quotient $\Bbb Z[x]/I$
47134
Ideals generated by two elements
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
49875
Question on Comaximal Ideals
81296
If A and B are ideals of a ring, show that A + B = $\{a+b|a \in A, b \in B\}$ is an ideal
117786
Show that some monomial ideal is primary
95031
Find generators of the ideal of an algebraic set
155745
Ideals of $\mathbb{Z}[X]$
52966
Rings, ideals and units-proof
134939
Norm of element $\alpha$ equal to absolute norm of principal ideal $(\alpha)$
50809
Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set