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Modal operators on bounded commutative residuated $\ell$-monoids

In: Mathematica Slovaca, vol. 57, no. 4
Jiří Rachůnek - Dana Šalounová
Detaily:
Rok, strany: 2007, 321 - 332
O článku:
Bounded commutative residuated lattice ordered monoids (\mbox{$R\ell$-mo} noids) are a common generalization of, e.g., Heyting algebras and $BL$-algebras, i.e., algebras of intuitionistic logic and basic fuzzy logic, respectively. Modal operators (special cases of closure operators) on Heyting algebras were studied in [MacNAB, D. S.: \textit{Modal operators on Heyting algebras}, Algebra Universalis \textbf{12} (1981), 5–29] and on $MV$-algebras in [HARLENDEROVÁ, M.—RACH\r{U}NEK, J.: \textit{Modal operators on $MV$-algebras}, Math. Bohem. \textbf{131} (2006), 39–48]. In the paper we generalize the notion of a modal operator for general bounded commutative \mbox{$R\ell$-monoids} and investigate their properties also for certain derived algebras.
Ako citovať:
ISO 690:
Rachůnek, J., Šalounová, D. 2007. Modal operators on bounded commutative residuated $\ell$-monoids. In Mathematica Slovaca, vol. 57, no.4, pp. 321-332. 0139-9918.

APA:
Rachůnek, J., Šalounová, D. (2007). Modal operators on bounded commutative residuated $\ell$-monoids. Mathematica Slovaca, 57(4), 321-332. 0139-9918.