Unboundedness of the first and the last Betti numbers of numerical semigroups segnerated by concatenation

Unboundedness of the first and the last Betti numbers of numerical semigroups segnerated by concatenation

Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath
URI: http://arxiv.org/abs/2202.12909
https://repository.iitgn.ac.in/handle/123456789/7573
Date: 2022-02

Abstract:

We show that the minimal number of generators and the Cohen-Macaulay type of a family of numerical semigroups generated by concatenation of arithmetic sequences is unbounded.

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