MV-frames
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913342836178944 |
|---|---|
| author | Nganou, Jean B |
| author_facet | Nganou, Jean B |
| contents | Complete MV-algebras are naturally equipped with frame structures. We call them MV-frames and investigate some of their main the properties as frames. We completely characterized algebraic MV-frames as well as regular MV-frames. In addition, we consider nuclei on MV-frames in general and on MV-frames of ideals of Lukasiewicz rings. Finally, we used the Chang-Mundici functor to explore the frame structures of complete unital lattice-ordered groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03604 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | MV-frames Nganou, Jean B Logic 06D35, 06E15, 06D50 Complete MV-algebras are naturally equipped with frame structures. We call them MV-frames and investigate some of their main the properties as frames. We completely characterized algebraic MV-frames as well as regular MV-frames. In addition, we consider nuclei on MV-frames in general and on MV-frames of ideals of Lukasiewicz rings. Finally, we used the Chang-Mundici functor to explore the frame structures of complete unital lattice-ordered groups. |
| title | MV-frames |
| topic | Logic 06D35, 06E15, 06D50 |
| url | https://arxiv.org/abs/2405.03604 |