43 citations · 202 across the 61 of their papers we have counts for
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math.AC2006★ 3 cited
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…
math.AC2006
Buchsbaum homogeneous algebras with minimal multiplicity
Shiro Goto, Ken-ichi Yoshida
In this paper we first give a lower bound on multiplicities for Buchsbaum homogeneous -algebras in terms of the dimension , the codimension , the initial degree , a…
math.AC2006
Stanley-Reisner ideals whose powers have finite length cohomologies
Shiro Goto, Yukihide Takayama
We introduce a class of Stanley-Reisner ideals called generalized complete intersection, which is characterized by the property that all the residue class rings of powers of the id…