| dc.contributor.author | Rachůnek, Jiří | |
| dc.contributor.author | Šalounová, Dana | |
| dc.date.accessioned | 2008-06-20T10:20:59Z | |
| dc.date.available | 2008-06-20T10:20:59Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | Mathematica Slovaca. 2007, vol. 57, no. 4, p. 321-332. | en |
| dc.identifier.issn | 0139-9918 | |
| dc.identifier.issn | 1337-2211 | |
| dc.identifier.uri | http://hdl.handle.net/10084/65446 | |
| dc.description.abstract | Bounded commutative residuated lattice ordered monoids (Rℓ-monoids) 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.: Modal operators on Heyting algebras, Algebra Universalis 12 (1981), 5–29] and on MV-algebras in [HARLENDEROVÁ,M.—RACHŮNEK, J.: Modal operators on MV-algebras, Math. Bohem. 131 (2006), 39–48]. In the paper we generalize the notion of a modal operator for general bounded commutative Rℓ-monoids and investigate their properties also for certain derived algebras. | en |
| dc.language.iso | en | en |
| dc.publisher | Springer | en |
| dc.relation.ispartofseries | Mathematica Slovaca | en |
| dc.relation.uri | http://dx.doi.org/10.2478/s12175-007-0026-3 | en |
| dc.subject | residuated ℓ-monoid | en |
| dc.subject | residuated lattice | en |
| dc.subject | BL-algebra | en |
| dc.subject | MV-algebra | en |
| dc.title | Modal operators on bounded commutative residuated ℓ -monoids | en |
| dc.type | article | en |
| dc.identifier.location | Není ve fondu ÚK | en |
| dc.identifier.doi | 10.2478/s12175-007-0026-3 | |
| dc.identifier.wos | 000255976400003 | |