Geodesic
Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 2, pp. 255-271

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In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal is an n-fold implicative ideal if and only if is an n-fold Boolean ideal. Also, it is shown that a BL-algebra is an n-fold integral BL-algebra if and only if trivial ideal 0 is an n-fold obstinate ideal. Moreover, the relation between n-fold obstinate ideals and n-fold (integral) obstinate filters in BL-algebras are studied by using the set of complement elements. Finally, it is proved that ideal I of BL-algebra L is an n-fold obstinate ideal if and only if L/I is an n-fold obstinate BL-algebra.
Keywords: BL-algebra, ideal, n-fold implicative ideal, n-fold obstinate ideal 
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Paad, Akbar. Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 2, pp. 255-271. http://geodesic.mathdoc.fr/item/DMGAA_2018_38_2_a7/