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
Paad, A., & Jafari, A. (2021). $n$-fold obstinate and $n$-fold fantastic (pre)filters of $EQ$-algebras. Journal of Algebra and Related Topics, 9(1), 31-50. doi: 10.22124/jart.2021.16939.1210
MLA
A. Paad; A. Jafari. "$n$-fold obstinate and $n$-fold fantastic (pre)filters of $EQ$-algebras". Journal of Algebra and Related Topics, 9, 1, 2021, 31-50. doi: 10.22124/jart.2021.16939.1210
HARVARD
Paad, A., Jafari, A. (2021). '$n$-fold obstinate and $n$-fold fantastic (pre)filters of $EQ$-algebras', Journal of Algebra and Related Topics, 9(1), pp. 31-50. doi: 10.22124/jart.2021.16939.1210
VANCOUVER
Paad, A., Jafari, A. $n$-fold obstinate and $n$-fold fantastic (pre)filters of $EQ$-algebras. Journal of Algebra and Related Topics, 2021; 9(1): 31-50. doi: 10.22124/jart.2021.16939.1210
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