If $x^5 = x$ in a ring, is the ring commutative?
92962
Rings with $a^5=a$ are commutative
45523
Can the product of two non invertible elements in a ring be invertible?
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
43990
R is a commutative ring with $1\ne 0$ and $R^m \cong R^n$, then $m=n$
151794
Can an ideal in a commutative integral domain be its own square?
111824
Sum of nilpotent and element is a unit in ring?
99567
Proving that an inverse ring homomorphism of an ideal is an ideal?
151803
Prove that $R$ is commutative
111493
Division algorithm for polynomials in R[x], where R is a commutative ring with unity.
122958
$R/I$ is commutative iff $rs-sr \in I$
138337
On a ring $R$ where $x^2 = x$, we must have that $2x = 0$ and $R$ is commutative
18971
Show that a ring is commutative if it has the property that ab = ca implies b = c when $a\neq 0$
16023
Are associates unit multiples in a commutative ring with $1$?
50908
Showing a Ring and an Ideal are equal
102316
why $(r+I)(s+I) = rs + I$ in the quotient ring $R ?$
69353
Show that a ring with only trivial right ideals is either a division ring or $|R|=p$ and $R^2=\{0\}$. Why would $R$ be finite?
44405
Prove XOR is commutative and associative?