STRUCTURE OF INJECTIVE-COMODULES

The weak-closed decomposition theory was used to investigate the struc ture of injective comodules and the property of the minimal injective resolution of a comodule. The results on comodules over a coalgebra, w hich are similar to those on the modules over a commutative noetherian ring, were obtained. Finally, the above results were used to study th e local cohomology defined by an ideal A of C, where C* is the dual a lgebra of a coalgebra over a field k.