Home Article Info
Bulletin of the Iranian Mathematical Society
Articles in Press
Current Issue
Journal Archive
Volume Volume 39 (2013)
Volume Volume 38 (2012)
Volume Volume 37 (2011)
Volume Volume 36 (2010)
Volume Volume 35 (2009)
Volume Volume 34 (2008)
Volume Volume 33 (2007)
Volume Volume 32 (2006)
Volume Volume 31 (2005)
Volume Volume 30 (2004)
Volume Volume 29 (2003)
Volume Volume 28 (2002)
Volume Volume 27 (2001)

Fully idempotent and coidempotent modules

Article 11, Volume 38, Number 4, December 2012, Page 987-1005  XML PDF (295 K)
Document Type: Research Paper
Authors
Habibollah Ansari-Toroghy ; Faranak Farshadifar
University of Guilan
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; and fully coidempotent module
Main Subjects
13-XX Commutative algebra
Statistics
Article View: 139
PDF Download: 144