Fuzzy n-fold obstinate ideals in mv -algebras

Abstract. In this paper, we introduce the notion of n-fold Boolean ideals of an MV -algebra and consider the quotient algebras induced by n-fold Boolean ideals. Also we prove that I is a n-fold Boolean ideal of an MV -algebra if and only if A/I is a n+۱-bounded MV -algebra if and only if A/I is a subdirect product of algebras Lk,with ۲ ≤ k ≤ n.Finally, we introduce the notion of fuzzy n-fold obstinate ideals in MV -algebras. We give some characterizations of fuzzy n-fold obstinate ideals.