Nearly Gorenstein and almost symmetric properties in shifted numerical semigroups

Dumitru I. Stamate, Francesco Strazzanti

Given the integers $0<r_1<\cdots <r_k$, we consider the shifted family of semigroups $M_n=⟨n,n+r_1,\dots ,n+r_k⟩$, where $n>0$. For sufficiently large $n$, we prove tha…