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$n$-fold obstinate and $n$-fold fantastic (pre)filters of $EQ$-algebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 9، شماره 1، شهریور 2021، صفحه 31-50 اصل مقاله (713.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2021.16939.1210 | ||
| نویسندگان | ||
| A. Paad* ؛ A. Jafari | ||
| Department of Mathematics, University of Bojnord, Bojnord, Iran | ||
| چکیده | ||
| In this paper, the notions of $n$-fold obstinate and $n$-fold fantastic (pre)filter in $EQ$-algebras are introduced and the relationship among $n$-fold obstinate, maximal, $n$-fold fantastic, and $n$-fold (positive) implicative prefilters are investigated. Moreover, the quotient $EQ$-algebra induced by an $n$-fold obstinate filter is studied and it is proved that the quotient $EQ$-algebra induced by an $n$-fold fantastic filter of a good $EQ$-algebra with bottom element $0$ is an involutive $EQ$-algebra. Finally, the relationships between types of $n$-fold filters in residuated $EQ$-algebras is shown by diagrams | ||
| کلیدواژه‌ها | ||
| EQ-algebra؛ n-fold obstinate (pre)filter؛ n-fold fantastic (pre)filter | ||
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آمار تعداد مشاهده مقاله: 631 تعداد دریافت فایل اصل مقاله: 647 |
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