n-fold obstinate and n-fold fantastic (pre)filters of EQ-algebras
Publish place: The Journal of Algebra and Related Topics، Vol: 9، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JART-9-1_003
تاریخ نمایه سازی: 31 تیر 1403
Abstract:
In this paper, the notions of n-fold obstinate and n-fold fantastic (pre)filterin 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 byan n-fold fantastic filter of a good EQ-algebra with bottom element ۰ is an involutive EQ-algebra. Finally, the relationships between types of n-fold filters in residuated EQ-algebras is shown by diagrams