Fully idempotent and coidempotent modules

Author(s):

Habibollah Ansari , Toroghy* , Faranak Farshadifar

Abstract:
In this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von Neumann's regular rings. Furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules) and investigate some properties of this class of modules.
Keywords:

Idempotent submodule , fully idempotent module , coidempotent submodule , copure submodule , fully coidempotent module

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:38 Issue: 4, 2012
Page:
987
https://magiran.com/p1112091