arXiv subjects

Takahiro Numata

Publications and source records attributed to Takahiro Numata.

2 recordsLinked to original sources

arXiv2024

Almost Gorenstein simplicial semigroup rings

We give a criterion for almost Gorenstein property for semigroup rings associated with simplicial semigroups. We extend Nari's theorem for almost symmetric numerical semigroups to simplicial semigroups with higher rank. By this criterion, we determine $2$-dimensional normal semigroup rings which have ``Ulrich elements'' defined in [Herzog-Jafari-Stamate].

math.AC↗

arXiv2011

Genus of numerical semigroups generated by three elements

In this paper we study numerical semigroups generated by three elements. We give a characterization of pseudo-symmetric numerical semigroups. Also, we will give a simple algorithm to get all the pseudo-symmetric numerical semigroups with give Frobenius number.

math.GR↗