A groupoid characterization of orthomodular lattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2005)
- Volume: 44, Issue: 1, page 13-18
- ISSN: 0231-9721
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topChajda, Ivan. "A groupoid characterization of orthomodular lattices." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 44.1 (2005): 13-18. <http://eudml.org/doc/32443>.
@article{Chajda2005,
abstract = {We prove that an orthomodular lattice can be considered as a groupoid with a distinguished element satisfying simple identities.},
author = {Chajda, Ivan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {orthomodular lattice; ortholattice; orthocomplementation; OML-algebra; orthomodular lattice; groupoid; OML-algebra},
language = {eng},
number = {1},
pages = {13-18},
publisher = {Palacký University Olomouc},
title = {A groupoid characterization of orthomodular lattices},
url = {http://eudml.org/doc/32443},
volume = {44},
year = {2005},
}
TY - JOUR
AU - Chajda, Ivan
TI - A groupoid characterization of orthomodular lattices
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2005
PB - Palacký University Olomouc
VL - 44
IS - 1
SP - 13
EP - 18
AB - We prove that an orthomodular lattice can be considered as a groupoid with a distinguished element satisfying simple identities.
LA - eng
KW - orthomodular lattice; ortholattice; orthocomplementation; OML-algebra; orthomodular lattice; groupoid; OML-algebra
UR - http://eudml.org/doc/32443
ER -
References
top- Abbott J. C., Semi-boolean algebras, Matem. Vesnik, 4 (1967), 177–198. (1967) MR0239957
- Birkhoff G.: Lattice Theory., Proc. Amer. Math. Soc., Providence, R. I, , third edition, 1967. (1967) MR0227053
- Beran L.: Orthomodular Lattices – Algebraic Approach., D. Reidel, Dordrecht, , 1984. (1984) MR0785005
- Chajda I., A groupoid characterization of Boolean algebras, Discuss. Math., General algebra and appl., to appear. Zbl1086.20041MR2150654
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