Coclosed Rickart Modules

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.

Keywords

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