Some Examples of BL-Algebras Using Commutative Rings
نویسندگان
چکیده
BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is analyze the structure using commutative rings. Due computational considerations, we interested in finite case. We present new ways generate rings and provide summarizing statistics. Furthermore, investigated BL-rings, i.e., whose lattice ideals can be equipped with a BL-algebra. A characterization for these their connections other classes established. give examples BL-rings which not an MV-algebra and, rings, construct 2r+1 elements, r≥2, BL-chains k k≥4. In addition, explicit construction isomorphism small n size (2≤n≤5).
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10244739