Find the set of interstion of $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ shwoing its elements
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
121280
Proving that $a \mathbb{Z} \cap b\mathbb{Z} = \operatorname{lcm}(a,b)\mathbb Z$
30401
Determining the structure of the quotient ring $\mathbb{Z}[x]/(x^2+3,p)$
40162
Prove that the set $\mathbb{Q}[\alpha] = \{a+b\alpha+c\alpha^2 \mid a, b, c \in\mathbb{Q}\}$ is closed under addition and multiplication.
33524
Prove the following $A \setminus (B\setminus C) = (A\setminus B)\cap (A \cup C)$
134770
For sets $A,B$, $A \cap (B \setminus A) \subseteq \varnothing$
11000
Fundamental group of $\mathbb{R}^2 \setminus (\mathbb{Z} \times \{0\})$
114262
Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
102721
Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
40447
Let $A = \mathbb{Z}$, $B = [−1, \pi]$, $C = (2, 7)$. List all elements of $A \cap (B^c \cap C)$.
10477
Finding the closure of A=$\mathbb Q \cap [0,1]$.
106756
Union and Intersection of Sets $A_{i}$ and $B_{j}$
80202
Why is $[0, 1] \cap \mathbb{Q}$ not compact in $\mathbb{Q}$?
30456
The number of $2 × 2$ invertible matrices with entries from field $\mathbb{Z}_p$
18634
Combinations of sets raised to the power of a prime modulus: $\binom{p^{\alpha}-1}k \equiv (-1)^k \pmod p$
15000
Show that number of elements in $(Z/nZ)^*$ is $\phi (n)$
14403
If $n = p_1^{a_1} ... p_r^{a_r}$ the set of nilpotents of $\mathbb{Z}_n$ is $(p_1 p_2 ... p_{r-1} p_r)\Bbb Z_n$