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arXiv · 2201.06403

The corner element of generalized numerical semigroups

Matheus Bernardini·Wanderson Tenório·Guilherme Tizziotti
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Abstract

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 generalized numerical semigroups in higher dimensions. We present properties of this new notion and its relations with existing invariants in the literature, and provide an algorithm to compute all the generalized numerical semigroups with fixed corner. Besides that, we provide lower and upper bounds on the number of generalized numerical semigroups having a fixed corner element.

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Matheus Bernardini, Wanderson Tenório, Guilherme Tizziotti. 2022-01-17. The corner element of generalized numerical semigroups. https://arxiv.org/abs/2201.06403

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