Generalization of the ABC theorem on locally nilpotent derivations
arXiv:2309.13971 · doi:10.1134/S0037446623050099
Abstract
We obtain a generalization of the ABC Theorem on locally nilpotent derivations to the case of the polynomials with m monomials such that each variable is included just in one monomial. As applications of this result we provide some construction of rigid and semi-rigid algebras and describe the Makar-Limanov invariant of algebras of a special form.