A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES

Let (r;m; k) be a cohen-macaulay complete local ring with the canonical module !. the aim of this note, is to show that, under mild assumptions, the class of balanced big cohen– macaulay modules coincides with the one consisting of those modules admitting a right resolution by modules in add!. this generalizes the well-known result for the class of maximal cohen– macaulay modules.