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.
Ansari-Toroghy, H. & Farshadifar, F. (2012). Fully idempotent and coidempotent modules. Bulletin of the Iranian Mathematical Society, 38(4), 987-1005.
MLA
Ansari-Toroghy, H., & Farshadifar, F. "Fully idempotent and coidempotent modules", Bulletin of the Iranian Mathematical Society, 38, 4, 2012, 987-1005.
HARVARD
Ansari-Toroghy H., Farshadifar F. (2012). 'Fully idempotent and coidempotent modules', Bulletin of the Iranian Mathematical Society, 38(4), pp. 987-1005.
CHICAGO
H. Ansari-Toroghy & F. Farshadifar, "Fully idempotent and coidempotent modules," Bulletin of the Iranian Mathematical Society, 38 4 (2012): 987-1005,
VANCOUVER
Ansari-Toroghy H., Farshadifar F. Fully idempotent and coidempotent modules. BIMS. 2012;38(4):987-1005.
