M. Harlenderova, AZD Praha s.r.o., VaV Olomouc, Smetanova 29, 779 00 Olomouc, Czech Republic, e-mail: firstname.lastname@example.org; J. Rachunek, Department of Algebra and Geometry, Faculty of Sciences, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: email@example.com
Abstract: Modal operators on Heyting algebras were introduced by Macnab. In this paper we introduce analogously modal operators on MV-algebras and study their properties. Moreover, modal operators on certain derived structures are investigated.
Keywords: MV-algebra, modal operator, closure operator, residuated $\ell$-monoid, Heyting algebra
Classification (MSC2000): 06D35, 06D25, 06F05
Full text of the article: