Naoyuki Matsuoka

activity

20062026

most citedOn the almost Gorenstein property in Rees algebras of contracted ideals

11 citations · 47 across the 22 of their papers we have counts for

collaborators

25 papers

math.AC2026

Traces of powers of canonical ideals

Le Truong Hoang, Naoyuki Matsuoka

Let $(R,\m)$ be a one-dimensional Cohen--Macaulay local ring with a canonical fractional ideal $R \subseteq K \subseteq R$ , and let $v$ denote its embedding dimension. Put $…

math.AC2026

The structure of almost symmetric almost complete intersection numerical semigroups

Kazufumi Eto, Naoyuki Matsuoka, Alessio Moscariello +3

We prove a structure theorem for numerical semigroups H that are almost symmetric and almost complete intersections. We show that a row-factorization (RF) matrix of H must possess…

math.AC2026

Normality of ideals beyond the standard graded setting: families from numerical semigroup rings

Naoyuki Matsuoka

Let $k$ be an arbitrary field and let $S = k [x, y, z]$ be the polynomial ring with three variables $x, y, z$ . We study integrally closed $(x, y, z)$ -primary ideals of $S$ that are homogene…

math.AC2026

Normality of monomial ideals in three variables

Maki Ataka, Naoyuki Matsuoka

An ideal $I$ in a Noetherian ring is called \textit{normal} if $I^{n}$ is integrally closed for all $n \geq 1$ . Zariski proved that in two-dimensional regular local rings, every inte…

math.AC2025

Pseudo-Frobenius numbers and defining ideals in stretched numerical semigroup rings

Do Van Kien, Naoyuki Matsuoka, Taiga Ozaki

The pseudo-Frobenius numbers of a numerical semigroup $H$ are deeply connected to the structure of the defining ideal of its semigroup ring $k [H]$ . In this paper, we resolve a cert…

math.AC2024

Almost Gorenstein simplicial semigroup rings

Kazufumi Eto, Naoyuki Matsuoka, Takahiro Numata +1

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…