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+1-bounded MV -algebra if and only if A/I is a su...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2019-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2610_f379b587ee7080874c64b2967e45cbdd.pdf |
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| Summary: | 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. |
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| ISSN: | 2251-8436 2322-1666 |