The bi-canonical degree of a Cohen–Macaulay ring
Resource type
Authors/contributors
- Ghezzi, Laura (Author)
- Goto, Shiro (Author)
- Hong, Jooyoun (Author)
- Hutson, H. L. (Author)
- Vasconcelos, Wolmer V. (Author)
Title
The bi-canonical degree of a Cohen–Macaulay ring
Abstract
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 R with a canonical ideal, we attach a different invariant, called bi-canonical degree, which in dimension 1 appears also in [12] as the residue of R. The minimal values of these functions characterize specific classes of Cohen–Macaulay rings. We give a uniform presentation of such degrees and discuss some computational opportunities offered by the bi-canonical degree. © 2019 Elsevier Inc.
Publication
Journal of Algebra
Date
2021
Volume
571
Pages
55–74
Citation Key
ghezziBicanonicalDegreeCohen2021
ISSN
00218693
Language
english
Extra
1 citations (Crossref) [2023-10-31]
Type: Article
tex.citation: https://api.elsevier.com/content/abstract/scopusid/85059675393
Citation
Ghezzi, L., Goto, S., Hong, J., Hutson, H. L., & Vasconcelos, W. V. (2021). The bi-canonical degree of a Cohen–Macaulay ring. Journal of Algebra, 571, 55–74. https://doi.org/10.1016/j.jalgebra.2018.12.013
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