invariance of radicals of rings with respect to endomorphisms;
skew polynomial ring;
Cohn-Jordan extensions;
relative nilpotency of left ideals.
Main publications:
Mushrub V.A., “On the uniform dimension of Ore extensions in many variables”, (On the uniform dimension of skew polynomial rings in many variables), Fundamentalnaya i Prikladnaya Matematika, 7:4 (2001), 1107–1121