Ordered prime spectra of bounded DRlDRl-monoids

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

Classes of filters in generalizations of commutative fuzzy structures

summary:Bounded commutative residuated lattice ordered monoids ($R\ell$-monoids) are a common generalization of $\mathit {BL}$-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 $R\ell$-monoids