Relation between (fuzzy) Gödel ideals and (fuzzy) Boolean ideals in BL-algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 36 (2016) no. 1, pp. 45-58

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In this paper, we study relationships between among (fuzzy) Boolean ideals, (fuzzy) Gödel ideals, (fuzzy) implicative filters and (fuzzy) Boolean filters in BL-algebras. In [9], there is an example which shows that a Gödel ideal may not be a Boolean ideal, we show this example is not true and in the following we prove that the notions of (fuzzy) Gödel ideals and (fuzzy) Boolean ideals in BL-algebras coincide.
Keywords: BL-algebra, (fuzzy) filter, (fuzzy) Boolean ideal, (fuzzy) Gödel ideal
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Paad, Akbar. Relation between (fuzzy) Gödel ideals and (fuzzy) Boolean ideals in BL-algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 36 (2016) no. 1, pp. 45-58. http://geodesic.mathdoc.fr/item/DMGAA_2016_36_1_a3/