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A study of BL-algebras by UC-filters | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 20، شماره 7، بهمن و اسفند 2023، صفحه 145-155 اصل مقاله (224.94 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7668 | ||
| نویسندگان | ||
| S. Motamed1؛ J. Moghaderi2؛ A. Borumand Saeid* 3 | ||
| 1Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran | ||
| 2Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran | ||
| 3Shahid bahonar university of kerman | ||
| چکیده | ||
| In this article, with the aim of further investigating BL-algebras, the concepts of Unity Co-annihilator-filters (UC-filters) is introduced and discussed. Also, for the faster study of UC-filters in BL-algebras, some equivalent conditions are obtained, and (with some examples) it is shown that these filters have differences. In addition, we consider several additional conditions imposed on UC-filters and prime filters and establish links between them. So, we get relationships between these types of filters and prime filters in BL-algebras. Finally, the form of all UC-saturated ∨-closed subsets of a G- algebras (by the concept of UC-saturated ∨-closed subsets) is stated. | ||
| کلیدواژه‌ها | ||
| BL-algebra؛ (UC؛ prime)-filter؛ unity co-annihilator elements | ||
| مراجع | ||
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