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

Source
Indian Journal of Pure and Applied Mathematics
ISSN
00195588
Date Issued
2024-06-01
Author(s)
Mehta, Ranjana
Saha, Joydip
DOI
Volume
55
Issue
2
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.
Unpaywall
URI
Subjects
13P10 | Apéry set | Betti numbers | Cohen-Macaulay type | Frobenius number | Monomial curves | Numerical semigroups | Primary 13C40 | Pseudo-Frobenius set