Unboundedness of the first Betti number and the last Betti number of numerical semigroups generated by concatenation

Article Type

Research Article

Publication Title

Indian Journal of Pure and Applied Mathematics

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.

First Page

649

Last Page

662

DOI

10.1007/s13226-023-00400-7

Publication Date

6-1-2024

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