Geodesic
bi-BL-algebra
Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 231-260

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In this paper, we introduce the notion of a bi-BL-algebra, bi-filter, bi-deductive system and bi-Boolean elements of a bi-BL-algebra and deal with bi-filters in bi-BL-algebra. We study this structure and construct the quotient of bi-BL-algebra. Also present a classification for examples of proper bi-BL-algebras.
Keywords: bi-BL-algebra, bi-filter, bi-deductive system, bi-Boolean elements of a bi-BL-algebra 
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Abbasloo, Mahdeieh; Saeid, Arsham. bi-BL-algebra. Discussiones Mathematicae. General Algebra and Applications, Tome 31 (2011) no. 2, pp. 231-260. http://geodesic.mathdoc.fr/item/DMGAA_2011_31_2_a7/