Rings constructed from commutative rings
13162
Prove $\alpha \in R[[x]]$ is a unit iff $a_0 \in R$ is a unit
14055
How to show that a finite commutative ring without zero divisors is a field?
60760
Ring homomorphism and characteristic
17895
Let $R$ be a commutative ring with 1 then why does $a\in N(R) \Rightarrow 1+a\in U(R)$?
115920
Showing $R$ is a local ring if and only if all elements of $R$ that are not units form an ideal
113512
Characteristic of nonzero commutative rings with unity
133878
Ring of order $p^2$ is commutative.
105170
About product of $k$ commutators
41629
Structure of ideals in the product of two rings
118911
Classifying Unital Commutative Rings of Order $p^2$
28327
(Simple) Examples on Non-Commutative Rings
129858
"Almost" ring homomorphism
98818
Quotient ring of a localization of a ring
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
138337
On a ring $R$ where $x^2 = x$, we must have that $2x = 0$ and $R$ is commutative
130814
Quotient of semi-simple rings
126331
Associative ring with identity, inverses, divisors of zero and Artinianity