Semiprime ideals and irreducible ideals of -semirings.
Skew derivations and the nil and prime radicals
We examine when the nil and prime radicals of an algebra are stable under q-skew σ-derivations. We provide an example which shows that even if q is not a root of 1 or if δ and σ commute in characteristic 0, then the nil and prime radicals need not be δ-stable. However, when certain finiteness conditions are placed on δ or σ, then the nil and prime radicals are δ-stable.
Some graded radicals of graded rings.
Strongly prime radical of group algebras.
Substructures and radicals of Morita contexts for near-rings and Morita near-rings.