A duality between algebras of basic logic and bounded representable $DRl$-monoids
Jiří Rachůnek · Mathematica Bohemica · 2001
$BL$-algebras, introduced by P. Hájek, 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.