Structure of some numerical semigroup rings
Volume 121 / 2020
Banach Center Publications 121 (2020), 53-62
MSC: 13D02, 20M25, 13A02, 20M14.
DOI: 10.4064/bc121-5
Abstract
This note is an extended version of the talk the second author gave at the ALaNT conference. We study the problem of constructing the minimal resolutions for the semigroup rings and use the resolution to extract information about invariants such as Betti numbers, Hilbert series, regularity etc. We illustrate the results using examples.