English

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

Logic 2018-11-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1811.03698,
  title  = {On the free frontal implicative semilattice extension of a frontal Hilbert algebra},
  author = {Ramon Jansana and Hernan Javier San Martin},
  journal= {arXiv preprint arXiv:1811.03698},
  year   = {2018}
}