Jiri Rachunek, Department of Algebra and Geometry, Faculty of Sciences, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: rachunek@risc.upol.cz
Abstract: $BL$-algebras, introduced by P. Hajek, form an algebraic counterpart of the basic fuzzy logic. In the paper it is shown that $BL$-algebras are the duals of bounded representable $DRl$-monoids. This duality enables us to describe some structure properties of $BL$-algebras.
Keywords: $BL$-algebra, $MV$-algebra, bounded $DRl$-monoid, representable $DRl$-monoid, prime spectrum
Classification (MSC 2000): 06F05, 03B52, 03G20, 03G25
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