43 citations · 62 across the 18 of their papers we have counts for
20 papers
Degrees: Vasconcelos Contributions
Laura Ghezzi, Jooyoun Hong
A degree of a module is a numerical measure of information carried by . We highlight some of Vasconcelos' outstanding contributions to the theory of degrees, bridging commut…
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…
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…
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…
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…
Dependent Artin-Schreier Defect Extensions and Strong Monomialization
Samar ElHitti, Laura Ghezzi
In this paper we affirmatively answer a question posed by F.-V. Kuhlmann. We show that the first Artin-Schreier defect extension in Cutkosky and Piltant's counter-example to strong…