… kind : Let I be an ideal ofa Cohen-Macauley local ring (R, m). … intersection, then b can
be chosen so that R/b is Cohen-… Thus a complete intersection is relatively Cohen-Macauley. …

… We will show that Y is always a residual intersection of Y'. Under these conditions, Theorem
3.1 shows F is Cohen-Macaulay. Further the condition (ii) of Theorem 3.1 in this case is …

… Cohen–Macaulayness and describe the canonical module of residual intersections J = a: RI
in a Cohen–Macaulay … I is strongly Cohen– Macaulay, we show duality results for residual …

… in the theory of residual intersections (Huneke and Ulrich, … residual intersection in
terms of the degrees of minimal generators. More precisely, in a positively graded Cohen-Macaulay …

… contained in another closed subscheme Z then a residual intersection of 7 in Z is a closed …
residual intersection is Cohen-Macaulay (CM). Our precise definition of a residual intersection …

… In this paper we are concerned with residual intersections, a … X, then Y is called a residual
intersection of X if the number of … all rank one Cohen-Macaulay modules over generic residual …

… We let (R, m) be a local Cohen–Macaulay ring and we focus on ideals that satisfy specific
bounds on the number of local generators up to a certain codimension (property Gl) and have …

… of residual intersection, strongly Cohen-Macaulay, and (G,) … is a residual intersection of a
generic codimension two Cohen-… once we weaken the tie from linkage to residual intersection. …

… intersection locus of Cohen-Macaulay rings if they are linked to a ring S which is a complete
intersection … If the residue field of R is finite, we construct a purely transcendental extension …

… Throughout this paper R is a commutative noetherian ring (sometimes it will also be local
and Cohen-Macaulay), and Tor denotes TorR. An ideal we call K will play a prominent role in …