On pseudo-BL algebras and BCC-algebras
We further study the filter theory of pseudo-BL algebras. We give some equivalent conditions of filter, normal filter and Boolean filter. We introduce the notion of pseudo MV-filter, pseudo-G filter and characterize Boolean algebras, pseudo-MV algebras and pseudo Godel algebras (i.e. Godel algebras) in pseudo-BL algebras. We establish the connections between BCC-algebras, pseudo-BCK algebras, pseudo-BL algebras and weak pseudo-BL algebras (pseudo-MTL algebras).
pseudo-bl algebra bcc-algebras normal filter boolean filter pseudo-g filter pseudo-bck algebras weak pseudo-bl algebras pseudo-mv filter