9 citations · 10 across the 9 of their papers we have counts for
9 papers
A new categorial equivalence for Stone Algebras
Ismael Calomino, Gustavo Pelaitay
The aim of this paper is to give a categorical equivalence for Stone algebras. We introduce the variety of Stone-Kleene algebras with intuitionistic negation, or Stone KAN-algebras…
A Stone-type duality for semilattices with adjunctions
B. Gimenez, G. Pelaitay, W. Zuluaga
This paper focuses on semilattices with adjunctions (SLatas), which are semilattices with a greatest element enriched with a pair of adjoint maps. We develop a spectral-style duali…
On Fidel Vakarelov construction for Monadic Godel algebras
Maria Valentina Alonso, Gustavo Pelaitay
A significant correlation between Nelson algebras and Heyting algebras has been explored by several scholars, including Cignoli, Fidel, Vakarelov, and Sendlewski. This connection i…
An alternative definition of tense operators on residuated lattices
Ismael Calomino, Gustavo Pelaitay, William Zuluaga Botero
In this paper we introduce and study an alternative definition of tense operators on residuated lattices. We give a categorical equivalence for the class of tense residuated lattic…
On Heyting algebras with negative tense operators
F. Almiñana, G. Pelaitay, W. Zuluaga
In this paper, we will study Heyting algebras endowed with tense negative operators, which we call tense H-algebras and we proof that these algebras are the algebraic semantics of…
Tense operators on distributive lattices with implication
Gustavo Pelaitay, William Zuluaga
Inspired by the definition of tense operators on distributive lattices presented by Chajda and Paseka in 2015, in this paper, we introduce and study the variety of tense distributi…
Discrete Duality for Tense Symmetric Heyting Algebras
Aldo V. Figallo, Gustavo Pelaitay, Claudia Sanza
In this article, we continue the study of tense symmetric Heyting algebras (or TSH-algebras). These algebras constitute a generalization of tense algebras. In particular, we descri…
Tense operators on m-symmetric algebras
Aldo V. Figallo, Carlos Gallardo, Gustavo Pelaitay
Here we initiate an investigation of the equational classes of m-symmetric algebras endowed with two tense operators. These varieties is a generalization of tense algebras. Our mai…
Tense SHn--algebras
Aldo V. Figallo, Gustavo Pelaitay
In 1982, L. Iturrioz introduced symmetrical Heyting algebras of order n (or SHn-algebras). In this paper, we define and study tense SHn-algebras namely, SHn-algebras endowed with t…