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math.CO2022
Gapsets and the -generalized Fibonacci sequences
Gilberto B. Almeida Filho, Matheus Bernardini
In this paper, we bring the terminology of the Kunz coordinates of numerical semigroups to gapsets and we generalize this concept to -extensions. It allows us to identify gapset…
math.CO2022
A generalization of a theorem about gapsets with depth at most three
Matheus Bernardini, Patrick Melo
In this paper, we provide a generalization of a theorem proved by Eliahou and Fromentin, which exhibit a remarkable property of the sequence , where denotes the numb…
math.GR2022
The corner element of generalized numerical semigroups
Matheus Bernardini, Wanderson Tenório, Guilherme Tizziotti
In this paper we introduce the concept of corner element of a generalized numerical semigroup, which extends in a sense the idea of conductor of a numerical semigroup to generalize…