| Title:
|
Orthomodular Posets Can Be Organized as Conditionally Residuated Structures (English) |
| Author:
|
Chajda, Ivan |
| Author:
|
Länger, Helmut |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2014 |
| Pages:
|
29-33 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is proved that orthomodular posets are in a natural one-to-one correspondence with certain residuated structures. (English) |
| Keyword:
|
Orthomodular poset |
| Keyword:
|
partial commutative groupoid with unit |
| Keyword:
|
conditionally residuated structure |
| Keyword:
|
divisibility condition |
| Keyword:
|
orthogonality condition |
| MSC:
|
06A11 |
| MSC:
|
06C15 |
| idZBL:
|
Zbl 06416998 |
| idMR:
|
MR3331004 |
| . |
| Date available:
|
2014-12-16T14:53:12Z |
| Last updated:
|
2023-08-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144037 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[9] Matoušek, M., Pták, P.: Orthocomplemented posets with a symmetric difference. Order 26 (2009), 1–21. Zbl 1201.06006, MR 2487165, 10.1007/s11083-008-9102-8 |
| Reference:
|
[10] Navara, M.: Characterization of state spaces of orthomodular structures. In: Proc. Summer School on Real Analysis and Measure Theory, Grado, Italy, (1997), 97–123. |
| Reference:
|
[11] Pták, P.: Some nearly Boolean orthomodular posets. Proc. Amer. Math. Soc. 126 (1998), 2039–2046. Zbl 0894.06003, MR 1452822, 10.1090/S0002-9939-98-04403-7 |
| Reference:
|
[12] Pták, P., Pulmannová, S.: Orthomodular Structures as Quantum Logics. Kluwer, Dordrecht, 1991. MR 1176314 |
| . |
