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Invariants of Cohen–Macaulay rings associated to their canonical ideals
Resource type
Authors/contributors
- Ghezzi, Laura (Author)
- Goto, Shiro (Author)
- Hong, Jooyoun (Author)
- Vasconcelos, Wolmer V (Author)
Title
Invariants of Cohen–Macaulay rings associated to their canonical ideals
Abstract
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 to each such ring R with a canonical ideal C, there are integers–the type of R, the reduction number of C–that provide valuable metrics to express the deviation of R from being a Gorenstein ring. We enlarge this list with other integers–the roots of R and several canonical degrees. The latter are multiplicity based functions of the Rees algebra of C. © 2017 Elsevier Inc.
Publication
Journal of Algebra
Date
2017
Volume
489
Pages
506-528
Journal Abbr
J. Algebra
Citation Key
pop00027
ISSN
00218693 (ISSN)
Language
English
Extra
8 citations (Crossref) [2023-10-31]
Citation Key Alias: lens.org/157-904-936-372-561
tex.type: [object Object]
Citation
Ghezzi, L., Goto, S., Hong, J., & Vasconcelos, W. V. (2017). Invariants of Cohen–Macaulay rings associated to their canonical ideals. Journal of Algebra, 489, 506–528. https://doi.org/10.1016/j.jalgebra.2017.05.042
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