2011/11/06 by Vincenzo Micale, Micale, Vincenzo, Anda Olteanu +1
Computer Science · Mathematics · #13D02 #20M25 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications #Polynomial and algebraic computation #math.AC #msc:13D02 #msc:20M25
paper · pdf · doi:10.48550/arxiv.1111.1433
arxiv created 2011/11/06 · openalex publication_date 2011/11/06 · arxiv updated 2011/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For any numerical semigroup S, there are infinitely many numerical symmetric semigroups T such that S=(T)/(2) is their half. We are studying the Betti numbers of the numerical semigroup ring K[T] when S is a 3-generated numerical semigroup or telescopic. We also consider 4-generated symmetric semigroups and the so called 4-irreducible numerical semigroups.