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Regularity in residuated lattices | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 16، شماره 6، بهمن و اسفند 2019، صفحه 107-126 اصل مقاله (261.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.5023 | ||
| نویسندگان | ||
| L. C. Holdon* 1؛ A. Borumand Saeid2 | ||
| 1Faculty of Exact Sciences, Department of Mathematics, University of Craiova, 13, Al. I.Cuza st., 200585, Craiova, Romania and International Theoretical High School of Informatics Bucharest, 648, Colentina st., 021187 Bucharest, Romania | ||
| 2Mahani Mathematical Research center, Shahid Bahonar University of Kerman, Iran, Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this paper, we study residuated lattices in order to give new characterizations for dense, regular and Boolean elements in residuated lattices and investigate special residuated lattices in order to obtain new characterizations for the directly indecomposable subvariety of Stonean residuated lattices. Free algebra in varieties of Stonean residuated lattices is constructed. We introduce in residuated lattice a new type of filter called special filter and investigate its properties. Finally, regular filter property in residuated lattices is introduced and is studied in details. | ||
| کلیدواژه‌ها | ||
| (Semi) divisible residuated lattice؛ Boolean element؛ directly indecomposable algebra؛ free algebras | ||
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آمار تعداد مشاهده مقاله: 336 تعداد دریافت فایل اصل مقاله: 219 |
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