Naoyuki Matsuoka

most citedQuasi-socle ideals in Gorenstein numerical semigroup rings

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.AC2007

Quasi-socle ideals in local rings with Gorenstein tangent cones

Shiro Goto, Satou Kimura, Naoyuki Matsuoka +1

Quasi-socle ideals, that is the ideals $I$ of the form $I = Q : m^{q}$ in a Noetherian local ring $(A, m)$ with the Gorenstein tangent cone $\mathrm{G}(\mathfrak…

math.AC2007★ 2 cited

Quasi-socle ideals in Gorenstein numerical semigroup rings

Shiro Goto, Satoru Kimura, Naoyuki Matsuoka

Quasi-socle ideals, that is the ideals $I$ of the form $I = Q : m^{q}$ in Gorenstein numerical semigroup rings over fields are explored, where $Q$ is a parameter ideal, and…

math.AC2006

Quasi-socle ideals in a Gorenstein local ring

Shiro Goto, Naoyuki Matsuoka, Ryo Takahashi

This paper explores the structure of quasi-socle ideals I=Q:m^2 in a Gorenstein local ring A, where Q is a parameter ideal and m is the maximal ideal in A. The purpose is to answer…