Unboundedness of the first Betti number and the last Betti number of numerical semigroups generated by concatenation
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Unboundedness of the first Betti number and the last Betti number of numerical semigroups generated by concatenation
Publications
Unboundedness of the first Betti number and the last Betti number of numerical semigroups generated by concatenation
Author :
Dr Ranjana Mehta
Year :
2024
Publisher :
Indian National Science Academy
Source Title :
Indian Journal of Pure and Applied Mathematics
Document Type :
Article
Link
DOI
https://doi.org/10.1007/s13226-023-00400-7
Web
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85151144149&origin=inward
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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