Polynomials with even constant term form an ideal in $\mathbb{Z}[x]$
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
96787
Why is the arbitrary sum, but not the arbitrary intersection, of ideals an ideal?
72640
$(m,n) = (\gcd(m,n))$ as ideals in $\Bbb Z$
36150
Ideal in a ring of continuous functions
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
119297
Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
117786
Show that some monomial ideal is primary
144572
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
47134
Ideals generated by two elements
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
112043
Show that the ideal $ (2, 1 + \sqrt{-7} ) $ in $ \mathbb{Z} [\sqrt{-7} ] $ is not principal
109199
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
121255
Ideals of the ring of rational numbers with odd denominators
131366
Cyclotomic polynomial
39230
Even function has even sequences of polynomials converging uniformly?
33245
Show that every ideal of the ring $\mathbb Z$ is principal