Duality for Hilbert algebras with supremum: an application

Title:

Duality for Hilbert algebras with supremum: an application

Creator:

Gaitán, Hernando

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d7e35a6f-b63a-4225-896d-309e000d589e
uuid:d7e35a6f-b63a-4225-896d-309e000d589e
doi:10.21136/MB.2017.0056-15

Subject:

Hilbert algebra, duality, monoid of endomorphisms, and BCK-algebra

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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∨-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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

263-276

Source:

Mathematica bohemica | 2017 Volume:142 | Number:3

Harvested from:

CDK

Metadata only:

false