Rings with decomposition are sums of ideals generated by idempotents
33741
If $A\simeq\prod A_i$ then $\sum e_i=1$
1425
The Chinese Remainder Theorem for Rings.
153622
Are intermediate rings of finitely generated ring extensions also finitely generated?
95031
Find generators of the ideal of an algebraic set
74796
Extension of intersection of ideals
150911
Prove that the ring is Artinian and find a composition series of ideals
100961
Ideals in valuation rings
16727
Intersection of finitely generated ideals
134622
Sum of nil right ideals
138882
A prime poset of ideals
49875
Question on Comaximal Ideals
21604
A complete ring with respect to an ideal
47134
Ideals generated by two elements
3327
Height and minimal number of generators of an ideal
20877
The set of all nilpotent elements is an ideal
140523
Infinite sum of ideals
103518
If $J$ is the ideal generated by all idempotents in a prime ideal, then $R/J$ has only trivial idempotents