International Journal of Mathematics and Computer Science, 17(2022), no. 2, 917–922 M CS Principally Pure Submodules Khaled Samiea Munshid 1 , Mohanad Farhan Hamid 2 , Jehad Ramadan Kider 3 1,3 Department of Applied Sciences University of Technology Iraq Baghdad, Iraq 2 Department of Production Engineering and Metallurgy University of Technology Iraq Baghdad, Iraq email: as.18.21@grad.uotechnology.edu.iq, 70261@uotechnology.edu.iq, jehadkider@gmail.com (Received November 13, 2021, Revised January 11, 2022, Accepted January 15, 2022) Abstract In this paper, two concepts are introduced: Principally pure sub- modules, and principally regular modules. Also, we have studied the relationship between principally pure and principally injective. We prove that a module M is principally pure in any principally injective module containing it as a submodule if and only if M is a principally injective module. Key words and phrases: Injective module, Principally (self) injective module, Principally pure submodules. AMS Subject Classifications:16D50. ISSN 1814-0432, 2022, http://ijmcs.future-in-tech.net