ON FULLY BOUNDED MODULES AND KRULL SYMMETRY

  • 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 Krull symmetry property, it is proved that if MR is a fully bounded Noetherian projective module, which is a generator in mod-R(NPGmodule for short) and S = End(MR)), then k-dimMR = k-dim SM.

Published
2021-01-06