  Inspired by the works in linkage theory of ideals, the concept of sliding
depth of extension modules is defined to prove the Cohen-Macaulyness of linked
module if the base ring is merely Cohen-Macaulay. Some relations between this
new condition and other module-theory conditions such as G-dimension and
sequentially Cohen-Macaulay are established. By the way several already known
theorems in linkage theory are improved or recovered by new approaches.
