WEAKLY PRIME AND SUPER-MAX FILTERS IN BL-ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 211-235 اصل مقاله (204.82 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12188.1638 | ||
| نویسندگان | ||
| Javad Moghaderi1؛ Somayeh Motamed* 2 | ||
| 1Department of Mathematics, University of Hormozgan, P.O. Box 3995, Bandar Abbas, Iran. | ||
| 2Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran. | ||
| چکیده | ||
| In this paper, the concepts of weakly prime filters and super-max filters in $\mathrm{BL}$-algebras are introduced, and the relationships between them are discussed. Also, some properties and relations between these filters and other types of filters in $\mathrm{BL}$-algebras are given. With some examples, it is shown that these filters have differences. After that, the notions of weakly linear $\mathrm{BL}$-algebras and weak top $\mathrm{BL}$-algebras are defined and investigated. Finally, using the notion of a weakly prime filter, a new topology on $\mathrm{BL}$-algebras is defined and studied. | ||
| کلیدواژهها | ||
| Prime filter؛ Maximal filter؛ Super-max filter؛ Weakly Prime filter, Weak Top BL-algebra | ||
| مراجع | ||
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