Title of article
ON RICKART MODULES
Author/Authors
AGAYEV, N. European University of Lefke - Department of Computer Engineering, Cyprus , HALICIOĞLU, S. Ankara Üniversitesi - Department of Mathematics, Turkey , HARMANCI, A. Hacettepe University - Department of Mathematics, Turkey
From page
433
To page
445
Abstract
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 element of S, TM(f) = Se, for some e^2 = e element of S. We prove that some results of principally projective rings and Baer modules can be extended to Rickart modules for this general settings.
Keywords
Rickart modules , Baer modules , reduced modules , rigid modules.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2672324
Link To Document