A NOTE ON RELATIVE GENERALIZED COHEN-MACAULAY MODULES

Let a be a proper ideal of a ring R. A finitely generated R-module M is said to be a-relative generalized Cohen-Macaulay if f_a (M)=cd(a ,M). In this note, we introduce a suitable notion of length of a module to characterize the above mentioned modules. Also certain syzygy modules over a relative Cohen-Macaulay ring are studied.

کلیدواژه ها:

cohomological dimension ، finiteness dimension ، relative generalized Cohen-Macaulay