Duality for Hilbert algebras with supremum: An application
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 algeb...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2017-10-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/142/3/mb142_3_3.pdf |
| _version_ | 1811209155032121344 |
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| author | Hernando Gaitán |
| author_facet | Hernando Gaitán |
| author_sort | Hernando Gaitán |
| collection | DOAJ |
| 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 $H^\vee$-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. |
| first_indexed | 2024-04-12T04:33:33Z |
| format | Article |
| id | doaj.art-89d965706f6b4ef0a396317bf8fb0303 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-04-12T04:33:33Z |
| publishDate | 2017-10-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-89d965706f6b4ef0a396317bf8fb03032022-12-22T03:47:51ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362017-10-01142326327610.21136/MB.2017.0056-15MB.2017.0056-15Duality for Hilbert algebras with supremum: An applicationHernando GaitánWe 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.http://mb.math.cas.cz/full/142/3/mb142_3_3.pdf Hilbert algebra duality monoid of endomorphisms BCK-algebra |
| spellingShingle | Hernando Gaitán Duality for Hilbert algebras with supremum: An application Mathematica Bohemica Hilbert algebra duality monoid of endomorphisms BCK-algebra |
| title | Duality for Hilbert algebras with supremum: An application |
| title_full | Duality for Hilbert algebras with supremum: An application |
| title_fullStr | Duality for Hilbert algebras with supremum: An application |
| title_full_unstemmed | Duality for Hilbert algebras with supremum: An application |
| title_short | Duality for Hilbert algebras with supremum: An application |
| title_sort | duality for hilbert algebras with supremum an application |
| topic | Hilbert algebra duality monoid of endomorphisms BCK-algebra |
| url | http://mb.math.cas.cz/full/142/3/mb142_3_3.pdf |
| work_keys_str_mv | AT hernandogaitan dualityforhilbertalgebraswithsupremumanapplication |