Geodesic
Duality for Hilbert algebras with supremum: An application
Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 263-276
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We modify slightly the definition of $H$-partial functions given by Celani and Montangie (2012); these partial functions are the morphisms in the category of $H^\vee $-space and this category is the dual category of the category with objects the Hilbert algebras with supremum and morphisms, the algebraic homomorphisms. As an application we show that finite pure Hilbert algebras with supremum are determined by the monoid of their endomorphisms.
We modify slightly the definition of $H$-partial functions given by Celani and Montangie (2012); these partial functions are the morphisms in the category of $H^\vee $-space and this category is the dual category of the category with objects the Hilbert algebras with supremum and morphisms, the algebraic homomorphisms. As an application we show that finite pure Hilbert algebras with supremum are determined by the monoid of their endomorphisms.
DOI : 10.21136/MB.2017.0056-15
Classification : 03G25, 06A12
Keywords: Hilbert algebra; duality; monoid of endomorphisms; BCK-algebra 
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Gaitán, Hernando. Duality for Hilbert algebras with supremum: An application. Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 263-276. doi: 10.21136/MB.2017.0056-15

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