Nilpotent element in commutative ring
14873
$1+a$ and $1-a$ in a ring are invertible if $a$ is nilpotent
82609
Ring such that $x^4=x$ for all $x$ is commutative
111824
Sum of nilpotent and element is a unit in ring?
20877
The set of all nilpotent elements is an ideal
79535
Prove that $R$ is a commutative ring if $x^3=x$
22563
Units and Nilpotents
147157
Modules over commutative rings
79650
Division Rings and Division Algebras
7303
How many idempotent elements does the ring ${\bf Z}_n$ contain?
17059
A ring element with a left inverse but no right inverse?
68167
Intersection of powers of an ideal in a Noetherian ring
15320
Morita equivalence and right and left ideals of a Ring
110984
Ideals and prime ideals in a commutative ring.
157585
Structure theorem of finite rings
29600
What is true for a ring with exactly two right ideals
56097
If $A$ and $AB-BA$ commute, show that $AB-BA$ is nilpotent
80088
What possible characteristics may a local commutative unital ring have?