Self-inverse element in a field of prime characteristic
33645
Proving that an integral domain has at most two elements that satisfy the equation $x^2 = 1$.
112485
Allowing the zero element in a field to have an inverse
106550
The bijection between homogeneous prime ideals of $S_f$ and prime ideals of $(S_f)_0$
37182
If an element has a unique right inverse, is it invertible?
1576
Finding the elements in the group of units of the ring of integers modulo n that are their own inverse.
150170
Subrings of fraction fields
113152
Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain
132714
Properties of p-adic valuations
67944
Nilpotent Elements and Intersection of Prime Ideals
92420
Characteristic of  a Non-unital Integral Ring
78835
An automorphism of the field of $p$-adic numbers
103654
A finite field extension that is not simple
68065
Quadratic extensions in characteristic $2$
114519
An elementary question regarding a multiplicative character over finite fields
7899
Show that if $p$ is prime then $\Bbb Z_p$ is a field
83255
Finding inverse in non-commutative ring
46648
How to prove the existence of a splitting field?