Nilpotent elements of a commutative ring
66968
if $a,b$ are nilpotent elements of a commutative ring $R$, show that $a+b$ is also nilpotent
108601
Show structure of a commutative ring in a tensor product
113512
Characteristic of nonzero commutative rings with unity
118532
Nilradical of polynomial ring
137450
Two-sided ideal generated by subset of not commutative ring
28327
(Simple) Examples on Non-Commutative Rings
15320
Morita equivalence and right and left ideals of a Ring
126331
Associative ring with identity, inverses, divisors of zero and Artinianity
133758
Traces of powers of a matrix $A$ over an algebra are zero implies $A$ nilpotent.
115273
Nilpotent matrix and basis for $F^n$
79650
Division Rings and Division Algebras
33728
Basis for Center of Group Ring
52966
Rings, ideals and units-proof
18971
Show that a ring is commutative if it has the property that ab = ca implies b = c when $a\neq 0$
157585
Structure theorem of finite rings
74318
Find the nilpotents in $\mathbb{Z}_3[x]/(x^2-1)$
118781
product of ideals in matrix ring