Near-rings in which each prime factor is simple.
Necklace rings and their radicals.
Nil right ideals in inverse semigroup algebras.
Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra
Let be an arbitrary parabolic subalgebra of a simple associative -algebra. The ideals of are determined completely; Each ideal of is shown to be generated by one element; Every non-linear invertible map on that preserves ideals is described in an explicit formula.
Normalizing extensions of semiprime rings.