Prove that $\langle 2+i\rangle$ is a maximal ideal for Gaussian Integers $\Bbb Z[i]$
108775
Identify the ring $\mathbb {Z}[i]/(2 + i) $
48498
Fourier coefficients $\langle x,e_k\rangle$ are at countable
128710
Prove that $\langle a^n \rangle \bigcap \langle a^k \rangle = \langle a^{lcm (n,k)} \rangle$
76661
Checking the maximality of a principal ideal in $R[x]$
89782
To show that $\langle x-a , y-b\rangle$ is a maximal ideal of $F[x,y]$ by showing that $F[x,y]/\langle x-a , y-b\rangle$ is a field
116430
If $I = \langle 2\rangle$, why is $I[x]$ not a maximal ideal of $\mathbb Z[x]$, even though $I$ is a maximal ideal of $\mathbb Z$?
155745
Ideals of $\mathbb{Z}[X]$
2626
Show $\langle a^m \rangle \cap \langle a^n \rangle = \langle a^{\operatorname{lcm}(m, n)}\rangle$
129371
Maximal ideals in the ring of real functions on $[0,1]$
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
63207
Zorn's lemma and maximal ideals
75639
Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$
94819
Prove that $\frac{\mathbb{C}[x,y]}{\langle x^2-y^2-1\rangle}$ is an integral domain such that all the nonzero prime ideals are maximal.
140550
Irreducible element iff prime norm in Gaussian integers?
104782
Polynomial irreducible - maximal ideal
91627
What is a primary decomposition of the ideal $I = \langle xy, x - yz \rangle$?
67203
Complement of maximal multiplicative set is a prime ideal