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math.AC2023★ 1 cited
Arithmetic varieties of numerical semigroups
Manuel B. Branco, Ignacio Ojeda, José Carlos Rosales
In this paper we present the notion of arithmetic variety for numerical semigroups. We study various aspects related to these varieties such as the smallest arithmetic that contain…
math.AC2021★ 4 cited
Minimal binomial systems of generators for the ideals of certain monomial curves
Manuel B. Branco, Isabel Colaço, Ignacio Ojeda
Let and be three positive integers such that and are relatively prime. In this paper, we prove that the toric ideal associated to the…