Prime ideals and polars in DR$\ell $-monoids and BL-algebras
Jan Kühr · Czech digital mathematics library · 2003
Dually residuated lattice ordered monoids (.DH£-monoids) are a generalization of lattice ordered groups embracing also algebras closely related to logic like pseudo MV-algebras (GMV-algebras) or pseudo BL-algebras.In the paper, the concepts of a prime ideal and a polar in a DH^-monoid are established and their basic properties are shown.Since pseudo BL -algebras are in fact the duals of certain bounded DH^-monoids, the analogous properties of pseudo BL -algebras are immediately obtained.