International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 73514, 14 pages
On -Fuzzy Ideals in Nearrings
Punjab University College of Information Technology, University of the Punjab, Old Campus, P.O. Box 54000, Lahore, Pakistan
Received 15 September 2006; Accepted 25 March 2007
Academic Editor: Akbar Rhemtulla
Copyright © 2007 Muhammad Akram. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We introduce the notion of fuzzy ideals in nearrings with respect to a -norm and investigate some of their properties. Using -fuzzy ideals, characterizations of Artinian and Noetherian nearrings are established. Some properties of -fuzzy ideals of the quotient nearrings are also considered.