Abstract
In this paper, we study homomorphic images of interval valued L-fuzzy ideals of a nearring. If $$f:N_1\rightarrow N_2$$ is an onto nearring homomorphism and $$\hat{\mu }$$ is an interval valued L-fuzzy ideal of $$N_2$$ then we prove that $$f^{-1}(\hat{\mu })$$ is an interval valued L-fuzzy ideal of $$N_1$$ . If $$\hat{\mu }$$ is an interval valued L-fuzzy ideal of $$N_1$$ then we show that $$f(\hat{\mu })$$ is an interval valued L-fuzzy ideal of $$N_2$$ whenever $$\hat{\mu }$$ is invariant under $$f$$ and interval valued t-norm is idempotent. Finally, we define interval valued L-fuzzy cosets and prove isomorphism theorems.
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