ON RICKART MODULES
DOI:
https://doi.org/10.24996/ijs.2019.60.11.18Keywords:
Endomorphism ring, Direct summand, Kernel of endomorphism, Rickart modules and modules with the summand intersection propertyAbstract
Gangyong Lee, S.Tariq Rizvi, and Cosmin S.Roman studied Rickart modules.
The main purpose of this paper is to develop the properties of Rickart modules .
We prove that each injective and prime module is a Rickart module. And we give characterizations of some kind of rings in term of Rickart modules.