Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/34678
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Title: | Minimal binomial systems of generators for the ideals of certain monomial curves |
Authors: | Branco, Manuel B. Isabel, Colaço Ignacio, Ojeda |
Keywords: | Binomial ideal, semigroup ideal, minimal system of generators, determi- nantal ideal, Gr ̈obner basis, indispensability. |
Issue Date: | Dec-2021 |
Publisher: | MDPI |
Citation: | Branco, M.B.; Colaço, I. Ojeda, I. Minimal Systems of Binomial Generators for the Ideals of Certain Monomial Curves. Mathematics 2021, 9, 3204. https://doi.org/10.3390/math9243204 |
Abstract: | Let a, b and n > 1 be three positive integers such that a and ∑n−1 j=0 bj are relatively prime. In this paper, we prove that the toric ideal I associated to the
submonoid of N generated by {∑n−1 j=0 bj } ∪ {∑n−1
j=0 bj + a ∑i−2 j=0 bj | i = 2, . . . , n} is
determinantal. Moreover, we prove that for n > 3, the ideal I has a unique minimal system of generators if and only if a < b − 1. |
URI: | https://www.mdpi.com/2227-7390/9/24/3204 http://hdl.handle.net/10174/34678 |
Type: | article |
Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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