Bodnarchuk Yu. V.
Ukr. Mat. Zh. - 2009. - 61, № 8. - pp. 1011-1024
We study locally nilpotent derivations belonging to a Lie algebra $sa_n$ of a special affine Cremona group in connection with the root decompositions of sa n relative to the maximum standard torus. It is proved that all root locally nilpotent derivations are elementary. As a continuation of this research, we describe two- and three-root derivations. By using the results obtained by Shestakov and Umirbaev, it is shown that the exponents of almost all obtained three-root derivations are wild automorphisms of a polynomial algebra in three variables.
Ukr. Mat. Zh. - 2000. - 52, № 2. - pp. 277-281
We determine the structure of a ring of endomorphisms of a translation module whose structure is determined by a group of translations of an affine space that acts by means of displacement on a polynomial algebra.
Ukr. Mat. Zh. - 1994. - 46, № 6. - pp. 671–679
The well-known Neumann theorem on the isomorphism of standard wreath products is generalized to the wreath products of an arbitrary transitive permutation group and an abstract group.
Ukr. Mat. Zh. - 1991. - 43, № 7-8. - pp. 889–894
Ukr. Mat. Zh. - 1984. - 36, № 6. - pp. 688 – 694
Ukr. Mat. Zh. - 1984. - 36, № 2. - pp. 143 - 148