Generalization of the ABC theorem on locally nilpotent derivations
Algebraic Geometry
2024-09-17 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.2309.13971,
title = {Generalization of the ABC theorem on locally nilpotent derivations},
author = {Veronika Kikteva},
journal= {arXiv preprint arXiv:2309.13971},
year = {2024}
}