This paper concerns one of the oldest open problems in ring theory due to Koethe which asks whether one-sided nil ideals of associative rings are contained in two-sided nil ideals. Our aim is to survey some known results and open questions related to ...
This paper concerns one of the oldest open problems in ring theory due to Koethe which asks whether one-sided nil ideals of associative rings are contained in two-sided nil ideals. Our aim is to survey some known results and open questions related to this problem. We included several proofs which might give a basis for studies in the area. One can find more related results and questions in quoted papers.