Prove that R is a commutative ring.
2709
How to show that every Boolean ring is commutative?
137011
showing $\psi: R\to \mathbb C$ is ring isomorphism.
22544
Let R be a commutative ring, and let P be a prime ideal of R. Suppose that P has no nontrivial zero divisors in it. Show that R is an integral domain.
43990
R is a commutative ring with $1\ne 0$ and $R^m \cong R^n$, then $m=n$
50908
Showing a Ring and an Ideal are equal
106894
If a subring of a ring R has identity, does R also have the identity?
82609
Ring such that $x^4=x$ for all $x$ is commutative
133706
If R is a local ring, then its maximal left-ideal is a left and right ideal
80961
Prove that a commutative ring $F$ is a field iff $F[x]$ is a Principal Ideal Domain
150986
For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$
67706
If $R$ is a Noetherian ring then $R[[x]]$ is also Noetherian
102316
why $(r+I)(s+I) = rs + I$ in the quotient ring $R ?$
79897
if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian
150911
Prove that the ring is Artinian and find a composition series of ideals
118781
product of ideals in matrix ring
54916
Maximal ideal in commutative ring
1707
How does one prove that addition on $\mathbb{R}$ is associative?