Let a and b be natural, (a,b) = 1, If ab=c², There are r and r such that a = r² and b = s²
54554
If a product of relatively prime integers is an $n$th power, then each is an $n$th power
128229
Proving that the transformation obtained from an adjoint pair is natural
111763
True or False $A - C = B - C $ if and only if $A \cup C = B \cup C$
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
152693
If $C|a$ and $C|b$ then $C|(ax+by)$
125164
How to prove the existence of $b$ in $Q$ such that $a<b^2<c$ in $Q$?
91506
If $\gcd(a,b) = 1$ then $\gcd(a,a + b) = 1$
33542
When is $A- B = B- A$?
62474
If $AB=I_n$ and $BA=I_m$ then $n=m$.
15626
Relations of a~b iff b = ak^2
7090
Show that $\gcd(a,bc)=1$ if and only if $\gcd(a,b)=1$ and $\gcd(a,c)=1$
108028
Is there a bijection between the reals and naturals?
97801
If $R_{1}$ and $R_{2}$ are relations on a set S with $R_{1};R_{2}=R_{2};R_{1}$. Then $R_{1}$ and $R_{2}$ are bijective maps
8920
There exists $C\neq0$ with $CA=BC$ iff $A$ and $B$ have a common eigenvalue
72313
Show that for all real numbers $a$ and $b$, $\,\, ab \le (1/2)(a^2+b^2)$
10348
Prove that if the $\gcd(a,b)=1$, then $\gcd(a+b,ab)=1$
6096
If $A+B=AB$ then $AB=BA$