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Fuzzy n-fold obstinate ideals in mv -algebras | ||
| Journal of Hyperstructures | ||
| دوره 8، شماره 1، شهریور 2019، صفحه 16-32 اصل مقاله (371.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2019.2610 | ||
| نویسنده | ||
| Fereshteh Forouzesh* | ||
| Faculty of Mathematics and computing, Higher Education Complex of Bam, Bam,Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| n-fold Boolean ideal؛ n-bounded MV -algebra؛ fuzzy n-fold obstinate | ||
| مراجع | ||
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