On Rickart Modules
Künye
AGAYEV, Nazım, Abdullah HARMANCI, & Sait HALICIOĞLU. "On Rickart Modules." Bulletin of the Iranian Mathematical Society, 38-2 (2012): 433-445.Özet
We investigate some properties of Rickart modules defined
by Rizvi and Roman. Let R be an arbitrary ring with identity
and M be a right R-module with S = EndR(M). A module
M is called to be Rickart if for any f 2 S, rM(f) = Se, for some
e2 = e 2 S. We prove that some results of principally projective
rings and Baer modules can be extended to Rickart modules for this
general settings.
