Some types of filters in BL algebras. (English) Zbl 1103.03062

Soft Comput. 10, No. 8, 657-664 (2006); erratum ibid. 11, No. 2, 209 (2007).
Summary: In this paper we introduce some types of filters in a BL algebra \(A\), and we state and prove some theorems which determine the relationship between these notions and other filters of a BL algebra, and by some examples we show that these notions are different. Also we consider some relations between these filters and quotient algebras that are constructed via these filters.


03G25 Other algebras related to logic
03B52 Fuzzy logic; logic of vagueness
06D35 MV-algebras
Full Text: DOI


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