Numerical Semigroups of Sally Type II

2025/12/11 by Goel, Kriti, Şahin, Nil, Singh, Srishti +1 · 1 citation
#13D02 #13D05 #13H10 #20M14 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2512.10812

Abstract

In this paper we study numerical semigroups of Sally type of multiplicity e and embedding dimension ν≥ e-2. We construct the minimal resolutions for these semigroup rings when they are symmetric and compute their Betti numbers. We also construct a minimal resolution for another special class of such semigroups of type ν-1. Finally, we propose some conjectures for the Betti numbers of families of non-symmetric Sally type semigroups in the above cases in relation to those of the corresponding Gorenstein cases of Sally type semigroups.

Citations

• Projective monomial curves associated to numerical semigroups with multiplicity e, width e-1, and embedding dimension e-2
• Numerical Semigroups of Sally Type
• Numerical semigroups and applications
• Minimal Graded Free Resolutions for Monomial Curves Defined by Arithmetic Sequences

Cited by

• Structure and Symmetry of Sally Type Semigroup Rings

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