Volume 33, No. 4, pp. 891-901, October 2007
Abstract. In this paper, we introduce the notion of c-prime fuzzy ideal of a nearring. The cardinality of the image of a c-prime fuzzy ideal can be greater than 2. This is unlike fuzzy prime ideals of rings and that of nearrings. If is an onto nearring homomorphism, we show that the map defines a one-to-one correspondence between the set of all -invariant c-prime fuzzy ideals of and the set of all c-prime fuzzy ideals of . Finally, we obtain the relationships between c-prime fuzzy ideals and already defined equiprime fuzzy ideals and 3-prime fuzzy ideals of nearrings.
Received December 12, 2006; revised April 18, 2007.
AMS Subject Classification. 03E72, 16Y30.
Key words. nearring, fuzzy ideal, equiprime, 3-prime, c-prime.