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Keywords:
$BL$-algebra; $MV$-algebra; bounded $DRl$-monoid; representable $DRl$-monoid; prime spectrum; basic fuzzy logic
$BL$-algebra; $MV$-algebra; bounded $DRl$-monoid; representable $DRl$-monoid; prime spectrum; basic fuzzy logic
Summary:
$BL$-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.
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