Problem in proving that the radical of an ideal is an ideal
138752
Prove the Radical of an Ideal is an Ideal
109199
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
69352
Prove that $I= \{a+bi \in ℤ[i] : a≡b \pmod{2}\}$ is an maximal ideal of $ℤ[i]$.
80397
Show that this set of polynomials is ideal in F[x]
116883
About ideals in a ring which is a $k$ vector space
50809
Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set
144572
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
148788
Polynomial ring ideal. Show that $(f) \cap R_N = (0) \iff f \notin R_N$
15904
Prime ideal and nilpotent elements
95031
Find generators of the ideal of an algebraic set
85206
Verifying proof :an Ideal $P$ is prime Ideal if $R/P$ is an integral domain.
31585
Primary ideals of $\mathbb{Z}$
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
138672
Finding Ideals in $\begin{bmatrix} \mathbb{Q} & \mathbb{Q}\\ 0 & 0 \end{bmatrix}$
112150
Prove that the ideal $(x^2 + x+2)$ is maximal in $F_3[x]$
131943
How to directly prove that $M$ is maximal ideal of $A$ iff $A/M$ is a field?
113152
Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain