activity
20032026
most citedCohen--Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals

43 citations · 76 across the 18 of their papers we have counts for

collaborators

18 papers

math.AC2026

Normality of Ideals and Modules

Naoki Endo, Shiro Goto, Jooyoun Hong +1

We investigate when the Rees algebra of an integrally closed -primary ideal in a regular local ring is a Cohen-Macaulay normal domain. While this property always hold…

math.AC2022★ 3 cited

Generalization of bi-canonical degrees

Joseph Brennan, Laura Ghezzi, Jooyoun Hong +1

We discuss invariants of Cohen-Macaulay local rings that admit a canonical module . Attached to each such ring R, when is an ideal, there are integers--the type of R, the re…

math.AC2022

Residual Intersections and Core of Modules

Alessandra Costantini, Louiza Fouli, Jooyoun Hong

We introduce the notion of residual intersections of modules and prove their existence. We show that projective dimension one modules have Cohen-Macaulay residual intersections, na…

math.AC2020★ 1 cited

Canonical Degrees of Cohen-Macaulay Rings and Modules: a Survey

J. P. Brennan, L. Ghezzi, J. Hong +2

The aim of this survey is to discuss invariants of Cohen-Macaulay local rings that admit a canonical module. Attached to each such ring R with a canonical ideal C, there are intege…

math.AC2017★ 1 cited

The Bi-Canonical Degree of a Cohen-Macaulay Ring

L. Ghezzi, S. Goto, J. Hong +2

This paper is a sequel to [8] where we introduced an invariant, called canonical degree, of Cohen-Macaulay local rings that admit a canonical ideal. Here to each such ring with a c…

math.AC2017★ 5 cited

Invariants of Cohen-Macaulay rings associated to their canonical ideals

Laura Ghezzi, Shiro Goto, Jooyoun Hong +1

The purpose of this paper is to introduce new invariants of Cohen-Macaulay local rings. Our focus is the class of Cohen-Macaulay local rings that admit a canonical ideal. Attached…