University "Kiev Mohyla Academy"

str.Scovoroda 2,

Kyiv 40070, Ukraine

E-mail:

str.Scovoroda 2,

Kyiv 40070, Ukraine

E-mail:

- On overnilpotent radicals of topological rings.
- Semitopological isomorphism of topological groups.
- Special radicals of graded rings.
**Generating properties of biparabolic invertible polynomial maps in three variables.**- Rings over which some preradicals are torsions.
- Transfer properties in radical theory.
- Exponent matrices and their quivers.
- Radicals of rings with involution.
- Radicals around Kothe's problem.
- Wedderburn decomposition of LCM-rings.
- Totally bounded rings and their groups of units.
- The radical theory of convolution rings.
- Artinal special Lie superalgebras.
- The classification of GL(2,R)-orbits' dimensions for system s(0, 2) and the factorsystem s(0, 1,2)/GL(2,R).