Invariants of Cohen–Macaulay rings associated to their canonical ideals
/ Authors
/ Abstract
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 .
Journal: Journal of Algebra