Coclosed Rickart Modules

Ghaleb Ahmed; Ghaleb Ahmed

doi:10.30526/2017.IHSCICONF.1818

Authors

Ghaleb Ahmed
Ghaleb Ahmed

DOI:

https://doi.org/10.30526/2017.IHSCICONF.1818

Keywords:

coclosed rickart modules, relatively coclosed rickart modules, rickart modules, cosemisimple modules, modules with CCIP.

Abstract

Let be a right module over an arbitrary ring with identity and . In this work, the coclosed rickart modules as a generalization of rickart modules is given. We say a module over coclosed rickart if for each , is a coclosed submodule of . Basic results over this paper are introduced and connections between these modules and otherwise notions are investigated.