Is it true for finding the order of $\mathbb{Z}_n[x]/ \langle f(x) \rangle$?
60925
Why these are isomorphic each other for given these rings?
24413
Why is $\mathbb{Z}[\sqrt{-n}], n\ge 3$ not a UFD?
83183
Why is $\langle x| x' \rangle=\delta(x-x')$?
94579
$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain, and its field of fractions is isomorphic to $\mathbb Q(t)$
134687
Is there a more elegant way of proving $\langle (1,2)(3,4), (1,2,3,4,5) \rangle = A_5$
124438
Find $|(\mathbb{Z} \oplus \mathbb{Z}) / \langle(3,6)\rangle|$ and determine if its cyclic
61292
How to know which elements are in the Quotient Ring $\mathbb{Z}[x]/\langle x, 2\rangle$?
104513
Order of elements in $Z_n$
95081
Ordering on complex numbers
138026
To show that $n!f(x) \in \mathbb{Z}[x]$
79055
Orders of a symmetric group
50241
Cardinality of the quotient ring $\mathbb Z_5[i]/\langle 1+i\rangle$
131946
Order of an Element Under a Homomorphism
104034
Is $\le$ defined by $\langle 𝑥_1, 𝑦_1 \rangle \le \langle 𝑥_2, 𝑦_2 \rangle$, if $𝑥_1 \le 𝑥_2 \land𝑦_1 \ge 𝑦_2$ a linear order?
16507
Is $\mathbb{Z}= \{\dots -3, -2, -1, 0 ,1 ,2 , 3, \dots \}$ countable?
43230
Is $\langle1-i\rangle$ a maximal ideal in $\mathbb{Z}[i]$?
118299
Show that $(\mathbb{Z}[x]/(x^{n+1}))^{\times}\cong \mathbb{Z}/2\mathbb{Z}\times\Pi_{i=1}^n\mathbb{Z}$