tailieunhanh - On fully bounded modules and krull symmetry

The concept of fully bounded modules introduced and as an special case of the Krull symmetry property, it is proved that if MR is a fully bounded Noetherian projective module, which is a generator (NPG module for short) in the category of right R-modules (mod-R for short) and S = End(MR), then k-dimMR = k-dim SM. |