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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1185,
author = {Mahdeieh Abbasloo and Arsham Borumand Saeid},
title = {bi-BL-algebra},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {31},
year = {2011},
pages = {231-260},
zbl = {1261.03171},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1185}
}
Mahdeieh Abbasloo; Arsham Borumand Saeid. bi-BL-algebra. Discussiones Mathematicae - General Algebra and Applications, Tome 31 (2011) pp. 231-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1185/
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