Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.14793 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917147878359040 |
|---|---|
| author | Cangiotti, Nicolò Linzi, Alessandro Talotti, Enrico |
| author_facet | Cangiotti, Nicolò Linzi, Alessandro Talotti, Enrico |
| contents | In this paper, we introduce a class of hypercompositional structures called dualizable L-mosaics. We prove that their category is equivalent to that formed by ortholattices and we formulate an algebraic property characterizing orthomodularity, suggesting possible applications to quantum logic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14793 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | L-mosaics and orthomodular lattices Cangiotti, Nicolò Linzi, Alessandro Talotti, Enrico Category Theory Quantum Physics 20N20, 18B10, 03G10 In this paper, we introduce a class of hypercompositional structures called dualizable L-mosaics. We prove that their category is equivalent to that formed by ortholattices and we formulate an algebraic property characterizing orthomodularity, suggesting possible applications to quantum logic. |
| title | L-mosaics and orthomodular lattices |
| topic | Category Theory Quantum Physics 20N20, 18B10, 03G10 |
| url | https://arxiv.org/abs/2501.14793 |