Ideal generated by a subset of a non-commutative ring without unit
137450
Two-sided ideal generated by subset of not commutative ring
60674
Finitely generated idempotent ideals are principal: proof without using Nakayama's lemma
117590
Let I and J be ideals of a ring R. Show by example that the set of products {xy | x ∈ I, y ∈ J} need not be an ideal
92420
Characteristic of  a Non-unital Integral Ring
26805
Non-Noetherian 0-dimensional ring
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
100961
Ideals in valuation rings
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
128813
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
69546
Example of non-commutative ring with exactly 2014 two sided-proper ideals.
76749
Example of a finite non-commutative ring without a unity
112560
Simple Noetherian domain which is not a division ring
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
115920
Showing $R$ is a local ring if and only if all elements of $R$ that are not units form an ideal
119067
Basic Ring Theory Question involving the unit element
121008
A non-noetherian ring with all localizations noetherian
100340
Invariant dimension property on a ring without zero divisors