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math.GR2023
On atoms of the set of generalized numerical semigroups with fixed corner element
Matheus Bernardini, Alonso S. Castellanos, Wanderson Tenório +1
We study the so-called atomic GNS, which naturally extends the concept of atomic numerical semigroup. We introduce the notion of corner special gap and we characterize the class of…
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…