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SOOCHOW JOURNAL OF MATHEMATICS

Volume 33, No. 4, pp. 891-901, October 2007




C-PRIME FUZZY IDEALS OF NEARRINGS


BY


BABUSHRI SRINIVAS KEDUKODI, SATYANARAYANA BHAVANARI AND
SYAM PRASAD KUNCHAM




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 $ f: N
\rightarrow M$ is an onto nearring homomorphism, we show that the map $ \mu \mapsto f(\mu)$ defines a one-to-one correspondence between the set of all $ f$-invariant c-prime fuzzy ideals of $ N$ and the set of all c-prime fuzzy ideals of $ M$. Finally, we obtain the relationships between c-prime fuzzy ideals and already defined equiprime fuzzy ideals and 3-prime fuzzy ideals of nearrings.

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Received December 12, 2006; revised April 18, 2007.

AMS Subject Classification. 03E72, 16Y30.

Key words. nearring, fuzzy ideal, equiprime, 3-prime, c-prime.