McKinsey-Tarski algebras and Raney extensions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915916923535360 |
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| author | Bezhanishvili, Guram Raviprakash, Ranjitha Suarez, Anna Laura Walters-Wayland, Joanne |
| author_facet | Bezhanishvili, Guram Raviprakash, Ranjitha Suarez, Anna Laura Walters-Wayland, Joanne |
| contents | We introduce the notion of Raney morphism between MT-algebras and show that the resulting category is equivalent to the category of Raney extensions. This is done by generalizing the construction of the Funayama envelope of a frame. The resulting notion of the $T_0$-hull of a Raney extension generalizes that of the $T_D$-hull of a frame. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01233 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | McKinsey-Tarski algebras and Raney extensions Bezhanishvili, Guram Raviprakash, Ranjitha Suarez, Anna Laura Walters-Wayland, Joanne Category Theory 18F60, 18F70, 06D22, 06E25, 54E05, 54D10 We introduce the notion of Raney morphism between MT-algebras and show that the resulting category is equivalent to the category of Raney extensions. This is done by generalizing the construction of the Funayama envelope of a frame. The resulting notion of the $T_0$-hull of a Raney extension generalizes that of the $T_D$-hull of a frame. |
| title | McKinsey-Tarski algebras and Raney extensions |
| topic | Category Theory 18F60, 18F70, 06D22, 06E25, 54E05, 54D10 |
| url | https://arxiv.org/abs/2509.01233 |