Splitting of left ideal in semisimple ring, idempotents.
61383
How do I see that every left ideal of a square matrix ring over a field is principal?
19883
Prime ideals of the matrix ring
122012
The ideal $(x,y)$ is not a free $K[x,y]$-module
155745
Ideals of $\mathbb{Z}[X]$
20877
The set of all nilpotent elements is an ideal
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
107821
The ring of integers of $\mathbf{Q}[i]$
154530
Rings whose elements are partitioned between units and zero-divisors.
74796
Extension of intersection of ideals
102341
Primary decomposition of a monomial ideal
80302
A module $M$ whose submodules and factor modules are semisimple but not semisimple itself
6646
A (non-artificial) example of a ring without maximal ideals
1719
Ideals in the ring of Gaussian integers
110984
Ideals and prime ideals in a commutative ring.
83115
A set of elements in a reduced unity ring
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
97740
Homogeneous ideals are contained in homogeneous prime ideals