2 papers
math.AC2026
Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound
Akihiro Sugawara
We address a question posed by Herzog, Kumashiro, and Stamate regarding the upper bound for the multiplicity of any far-flung Gorenstein numerical semigroup. We answer this questio…
math.AC2025
Classification of almost symmetric numerical semigroups with maximal reduced type
Akihiro Sugawara
This paper determines almost symmetric numerical semigroups with maximal reduced type completely. In addition, this paper classifies MED-semigroups with maximal reduced type.