summary:Ordered prime spectra of Boolean products of bounded DRl-monoids are described by means of their decompositions to the prime spectra of the components
summary:Bounded commutative residuated lattice ordered monoids (Rℓ-monoids) are a common generalization of BL-algebras and Heyting algebras, i.e. algebras of basic fuzzy logic and intuitionistic logic, respectively. In the paper we develop the theory of filters of bounded commutative Rℓ-monoids