Monomial algebraic and algebroid curves and their Lipschitz saturation over the ground ring

Fuente: arXiv
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Autores principales: Frühbis-Krüger, Anne, da Silva, Thiago
Formato: Preprint
Publicado: 2024
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author Frühbis-Krüger, Anne
da Silva, Thiago
author_facet Frühbis-Krüger, Anne
da Silva, Thiago
contents In this article, we provide an explicit description of the Lipschitz saturation $A^*_{B,R}$ of a subalgebra $A\subseteq R[[t^{γ_1},\ldots, t^{γ_n}]]$ over a ring $R$ in terms of the numerical semigroup $Γ= \langleγ_{1},\ldots,γ_{n}\rangle$ with mild conditions imposed on $R$.
format Preprint
id arxiv_https___arxiv_org_abs_2411_17579
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Monomial algebraic and algebroid curves and their Lipschitz saturation over the ground ring
Frühbis-Krüger, Anne
da Silva, Thiago
Commutative Algebra
In this article, we provide an explicit description of the Lipschitz saturation $A^*_{B,R}$ of a subalgebra $A\subseteq R[[t^{γ_1},\ldots, t^{γ_n}]]$ over a ring $R$ in terms of the numerical semigroup $Γ= \langleγ_{1},\ldots,γ_{n}\rangle$ with mild conditions imposed on $R$.
title Monomial algebraic and algebroid curves and their Lipschitz saturation over the ground ring
topic Commutative Algebra
url https://arxiv.org/abs/2411.17579