Title

Linkage by generically Gorenstein, Cohen-Macaulay ideals

Abstract

In this paper, we study linkage by a wider class of ideals than the complete intersections. We are most interested in how the Cohen-Macaulay property behaves along this more general notion of linkage. In particular, if ideals A and B are linked by a generically Gorenstein Cohen-Macaulay ideal I, and if A is a Cohen-Macaulay ideal, we give a criterion for B to be a Cohen-Macaulay ideal. When R/B is not Cohen-Macaulay, we can give in many cases an easy description of the non-Cohen-Macaulay locus of R/B, and also a criterion for R/B to have almost maximal depth. © 1998 Academic Press.

Publication Date

9-1-1998

Publication Title

Journal of Algebra

Volume

207

Issue

1

Number of Pages

43-71

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jabr.1998.7461

Socpus ID

0032164085 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0032164085

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