ON FULLY BOUNDED MODULES AND KRULL SYMMETRY

S. M. Javdannezhad; N. Shirali

S. M. Javdannezhad
N. Shirali

Keywords: bounded modules, fully bounded modules, Krull symmetry, Krull dimension, classical Krull dimension

Abstract

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.