Artin-Nagata properties and Cohen-Macaulay associated graded rings

From the definition of the Cohen-Macaulay homological dimensions, the connection to Cohen-Macaulayness is less than obvious, but as described in the introduction, we shall prove

Mainly we deal with the codimension two case in which we show that the Dubreil bound t G d 1 1 1 is a necessary and sufficient condition to have such an ideal and we give a sharp

We give a combinatorial criterion on the graph which assures that the Stanley-Reisner ring has a system of parameters consisting of linear forms.. The resulting

Any algebraically closed simple object can be considered as a ground graded field in which we take values. Then any adequately finitely pre- sentable object A in

If (R, m) is a local ring with infinite residue field R/m, every minimal reduction of I is minimally generated by.. elements, and ~(I) is called the analytic spread

- wild, which can be defined in two ways: either as those algebras having n-parameter families of indecomposable modules of a fixed rank for arbitrary big n, or

Verdier, Reflexive modules over rational double points, Math.. Auslander, Functors and morphisms determined by objects,

This problem is motivated by Cohen-Lenstra heuristics on class groups of number fields, where sums of this