On the free frontal implicative semilattice extension of a frontal Hilbert algebra

Ramon Jansana, Hernan Javier San Martin

Published 2018-11-08Version 1

In this paper we define a functor from the algebraic category of frontal Hilbert algebras to the algebraic category of frontal implicative semilattices which is left adjoint to the forgetful functor from the category of frontal implicative semilattices to that of frontal Hilbert algebras.