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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1251,
author = {Akbar Paad},
title = {Relation between (fuzzy) G\"odel ideals and (fuzzy) Boolean ideals in BL-algebras},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {36},
year = {2016},
pages = {45-58},
zbl = {1345.03117},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1251}
}
Akbar Paad. Relation between (fuzzy) Gödel ideals and (fuzzy) Boolean ideals in BL-algebras. Discussiones Mathematicae - General Algebra and Applications, Tome 36 (2016) pp. 45-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1251/
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