ON RICKART MODULES

  • Mohammed Qader Rahman Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Bahar Hamad Al-Bahrani Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Keywords: Endomorphism ring, Direct summand, Kernel of endomorphism, Rickart modules and modules with the summand intersection property

Abstract

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.

Published
2019-11-27
How to Cite
Rahman, M. Q., & Al-Bahrani, B. H. (2019). ON RICKART MODULES. Iraqi Journal of Science, 60(11), 2473-2477. https://doi.org/10.24996/ijs.2019.60.11.18
Section
Mathematics

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