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arXiv · 2309.13971

Generalization of the ABC theorem on locally nilpotent derivations

Veronika Kikteva
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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.

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Veronika Kikteva. 2023-09-25. Generalization of the ABC theorem on locally nilpotent derivations. https://doi.org/10.1134/s0037446623050099

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