Product of non-zero elements of a field is $-1$
10760
Why is the product of all units of a finite field equal to $-1$?
151520
About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$
155771
Product of degree of two field extensions of prime degree
18066
Prove that any non-zero-divisor of a finite dimensional algebra has an inverse
109760
Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
138083
$\gcd(X^n - 1, nX^{n-1}) = 1$ in a field $K$ of characteristic $0$ or characteristic $p \nmid n$.
6855
Subfields of finite fields
120215
Sum of elements of a finite field
39514
how do I prove that $1 > 0$ in an ordered field?
157074
The elements in the composite field $FK$
117777
What are the zero divisors of $C[0,1]$?
132133
Number of elements of a finite field
143550
Order of product of two elements in an abelian group
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
37960
Zero Divisors in Direct Product of Rings
107765
Prove that there exists two roots in $[-1,1]$
157031
Express $x^8-x$ as a product of irreducibles in $\Bbb Z_2[x]$