… We also observe that the ring of invariants of a finite group acting on a Cohen-Macaulay
ring is again Cohen-Macaulay if the order of the group is invertible in the ring. (See Proposition …

… theorems for CohenMacaulay local rings of … Cohen-Macaulay local rings of finite CM type
are at a focal point in our telling of the theory, with connections to algebraic geometry, invariant …

… The purpose of the following sections is to extend and to improve these considerations
by studying the following numerical invariants. Given a reduced, irreducible, non-degenerate …

… We investigate the Cohen-Macaulay property for rings of invariants under multiplicative …
for any Cohen-Macaulay base ring k (Lemma 3.2). Assuming Z[L] G to be CohenMacaulay, …

… 3 reduces the CohenMacaulay problem for multiplicative invariants to the special case of
ct … multiplicative invariant rings of dimension 3 in Cohen-Macaulay und non-CohenMacaulay …

… Suppose R=S/I where S is Gorenstein, R is CohenMacaulay and generically a complete
intersection. If R is linked to a complete intersection then pR(t)=0 for every MeC(R). If Yl, ...,Yn is …

… the ring of invariants, we show that many of the criteria which imply the ring of invariants
is non-Cohen–Macaulay actually imply that no graded separating algebra is Cohen–Macaulay. …

… Ra is Cohen-Macaulay, where RG denotes the ring of invariants of the … For R and G as
above, RG is Cohen-Macaulay for an … , then the ring of invariants RG is CohenMacaulay [10]. In …

… dimensional Cohen–Macaulay ring. We compare these two sets of invariants with the one
introduced by the authors for the tangent cone of a one-dimensional Cohen–Macaulay local …

… a Cohen-Macaulay local ring with canonical module. In chapter 3, we study a ring invariant
that … For each finitely-generated R-module M, Auslander’s δ-invariant, denoted δR(M), is the …