Boolean semirings
Boolean structure of triangular norms.
In this note results obtained by S.Ray (1997) on representation of a Boolean algebra by its triangular norms are generalized.
Boolean transformations with unique fixed points
Booleanization
Booleanization of uniform frames
Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and uniform frames arise.
Booloïdes