Fuzzy n-fold obstinate ideals in mv -algebras

Document Type : Research Paper

Author

Faculty of Mathematics and computing, Higher Education Complex of Bam, Bam,Iran.

Abstract

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+1-bounded MV -algebra if and only if A/I is a subdirect product of algebras Lk,with 2 ≤ 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.

Keywords

References

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Journal of Hyperstructures
Volume 8, Issue 1
June 2019
Pages 16-32

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