| Title:
|
A groupoid characterization of orthomodular lattices (English) |
| Author:
|
Chajda, Ivan |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
13-18 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that an orthomodular lattice can be considered as a groupoid with a distinguished element satisfying simple identities. (English) |
| Keyword:
|
orthomodular lattice |
| Keyword:
|
ortholattice |
| Keyword:
|
orthocomplementation |
| Keyword:
|
OML-algebra |
| MSC:
|
06C15 |
| MSC:
|
20N02 |
| idZBL:
|
Zbl 1091.06006 |
| idMR:
|
MR2218563 |
| . |
| Date available:
|
2009-08-21T06:49:30Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133375 |
| . |
| Reference:
|
[1] Abbott J. C.: Semi-boolean algebras.Matem. Vesnik, 4 (1967), 177–198. MR 0239957 |
| Reference:
|
[2] Birkhoff G.: Lattice Theory. : Proc. Amer. Math. Soc., Providence, R. I., third edition, 1967. MR 0227053 |
| Reference:
|
[3] Beran L.: Orthomodular Lattices – Algebraic Approach. : D. Reidel, Dordrecht., 1984. MR 0785005 |
| Reference:
|
[4] Chajda I.: A groupoid characterization of Boolean algebras.Discuss. Math., General algebra and appl., to appear. Zbl 1086.20041, MR 2150654 |
| . |
