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. (C) 1998 Academic Press.
A Thu, study studied this question.