Geodesic
On implicative and maximal ideals of BL-algebras
Commentationes Mathematicae, Tome 54 (2014) no. 2, pp. 247-258.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In the theory of MV-algebras, implicative ideals are studied by Hoo and Sessa. In this paper we define and characterize implicative ideals of BL-algebras. We also investigate maximal ideals of BL-algebras and prove that if an ideal is prime and implicative, then it is maximal. Moreover, we show that an ideal is maximal if and only if the quotient BL-algebra is a simple MV-algebra. Finally, we give the homomorphic properties of implicative and maximal ideals.
DOI : 10.14708/cm.v54i2.705
Mots-clés : BL-algebra, MV-algebra, implicative (maximal) ideal 
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Andrzej Walendziak. On implicative and maximal ideals of BL-algebras. Commentationes Mathematicae, Tome 54 (2014) no. 2, pp.  247-258. doi : 10.14708/cm.v54i2.705. http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i2.705/

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