Prelinear Hilbert algebras
Logic
2018-09-10 v1
Abstract
In this paper we give an explicit description of the left adjoint of the forgetful functor from the algebraic category of G\"odel algebras (i.e., prelinear Heyting algebras) to the algebraic category of bounded prelinear Hilbert algebras. We apply this result in order to study possible descriptions of the coproduct of two finite algebras in the algebraic category of prelinear Hilbert algebras.
Cite
@article{arxiv.1809.02171,
title = {Prelinear Hilbert algebras},
author = {Jose Luis Castiglioni and Sergio A. Celani and Hernan J. San Martin},
journal= {arXiv preprint arXiv:1809.02171},
year = {2018}
}