Generalization of the ABC theorem on locally nilpotent derivations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914948930600960 |
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| author | Kikteva, Veronika |
| author_facet | Kikteva, Veronika |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13971 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalization of the ABC theorem on locally nilpotent derivations Kikteva, Veronika Algebraic Geometry Commutative Algebra 13N15, 13A50 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. |
| title | Generalization of the ABC theorem on locally nilpotent derivations |
| topic | Algebraic Geometry Commutative Algebra 13N15, 13A50 |
| url | https://arxiv.org/abs/2309.13971 |