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arXiv · 2512.10812

Numerical Semigroups of Sally Type II

Kriti Goel·Nil Şahin·Srishti Singh·Hema Srinivasan
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Abstract

In this paper we study numerical semigroups of Sally type of multiplicity $e$ and embedding dimension $\nu \ge e-2$. 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 $\nu-1$. 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.

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Kriti Goel, Nil Şahin, Srishti Singh, Hema Srinivasan. 2025-12-11. Numerical Semigroups of Sally Type II. https://arxiv.org/abs/2512.10812

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