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Extensions of Z−ideals in MV−algebras | ||
| Iranian Journal of Fuzzy Systems | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 مرداد 1403 اصل مقاله (425.98 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2024.48312.8498 | ||
| نویسندگان | ||
| A Hassani Movahed1؛ M Bedrood2؛ Arsham Borumand Saeid* 3 | ||
| 1Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| 2Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132. 84084 Fisciano, SA, Italy. | ||
| 3Dept. of Math Shahid Bahonar University of Kerman | ||
| چکیده | ||
| In this paper, we introduce a special types of Z−ideals in MV −algebras and delve into their properties. These particular ideals are thoroughly examined within the context of MV −chains, semi-simple MV −algebras and Hyperarchimedean structures. Furthermore, we provide characterizations for these ideals, offering equivalent definitions that enhance our understanding of their nature. Our investigation also encompasses the relationships between these special Z−ideals and other types of ideals, such as the minimal prime ideals and the maximal ideals. Overall, this paper aims to provide a comprehensive analysis of special Z−ideals in MV −algebras. | ||
| کلیدواژهها | ||
| MV -algebra؛ ZJ−ideal؛ ZNJ−ideal | ||
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آمار تعداد مشاهده مقاله: 26 تعداد دریافت فایل اصل مقاله: 60 |
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