Geodesic
Classes of filters in generalizations of commutative fuzzy structures
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 93-107 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Bounded commutative residuated lattice ordered monoids ($R\ell $-monoids) are a common generalization of $\mathit {BL}$-algebras and Heyting algebras, i.e. algebras of basic fuzzy logic and intuitionistic logic, respectively. In the paper we develop the theory of filters of bounded commutative $R\ell $-monoids.
Bounded commutative residuated lattice ordered monoids ($R\ell $-monoids) are a common generalization of $\mathit {BL}$-algebras and Heyting algebras, i.e. algebras of basic fuzzy logic and intuitionistic logic, respectively. In the paper we develop the theory of filters of bounded commutative $R\ell $-monoids.
Classification : 03G25, 06D35, 06F05
Keywords: Residuated $\ell $-monoid; deductive system; $\mathit {BL}$-algebra; $\mathit {MV}$-algebra; Heyting algebra; filter 
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Rachůnek, Jiří; Šalounová, Dana. Classes of filters in generalizations of commutative fuzzy structures. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 93-107. http://geodesic.mathdoc.fr/item/AUPO_2009_48_1_a8/