43 citations · 83 across the 29 of their papers we have counts for
31 papers
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…
The Sally Modules of Ideals: A Survey
Wolmer V. Vasconcelos
The Sally module of a Rees algebra $\BB$ relative to one of its Rees subalgebras is a construct that can be used as a mediator for the trade-off of cohomological (e.g. depth) i…
Sally Modules and Reduction Numbers of Ideals
Laura Ghezzi, Shiro Goto, Jooyoun Hong +1
We study the relationship between the reduction number of a primary ideal of a local ring relative to one of its minimal reductions and the multiplicity of the corresponding Sally…