Nilpotent Elements and Units
22563
Units and Nilpotents
158426
Proving lemma about centrality of idempotent elements in a Ring with no nilpotent elements.
66968
if $a,b$ are nilpotent elements of a commutative ring $R$, show that $a+b$ is also nilpotent
138670
If product of finite elements in a ring is a unit then can we say each element as unit
39788
$a+1,a-1$ invertible for nilpotent element
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
115585
Do Boolean rings always have a unit element?
61292
How to know which elements are in the Quotient Ring $\mathbb{Z}[x]/\langle x, 2\rangle$?
102721
Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
118911
Classifying Unital Commutative Rings of Order $p^2$
16476
Order of the product of two commuting elements with coprime orders in a group.
151797
Which element belong to the principal ideal $(3+i)$?
83115
A set of elements in a reduced unity ring
45523
Can the product of two non invertible elements in a ring be invertible?
69012
How to directly prove every element in a ring with exactly three ideals is either a unit or a zero divisor?
52966
Rings, ideals and units-proof
18361
Does the unit generate the additive group in a unital ring with cyclic additive group?