Sheffer operation in ortholattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2005)
- Volume: 44, Issue: 1, page 19-23
- ISSN: 0231-9721
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topChajda, Ivan. "Sheffer operation in ortholattices." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 44.1 (2005): 19-23. <http://eudml.org/doc/32449>.
@article{Chajda2005,
abstract = {We introduce the concept of Sheffer operation in ortholattices and, more generally, in lattices with antitone involution. By using this, all the fundamental operations of an ortholattice or a lattice with antitone involution are term functions built up from the Sheffer operation. We list axioms characterizing the Sheffer operation in these lattices.},
author = {Chajda, Ivan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {ortholattice; orthocomplementation; lattice with antitone involution; Sheffer operation; lattice with antitone involution; ortholattice; Sheffer operation; ortho-Sheffer operation},
language = {eng},
number = {1},
pages = {19-23},
publisher = {Palacký University Olomouc},
title = {Sheffer operation in ortholattices},
url = {http://eudml.org/doc/32449},
volume = {44},
year = {2005},
}
TY - JOUR
AU - Chajda, Ivan
TI - Sheffer operation in ortholattices
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2005
PB - Palacký University Olomouc
VL - 44
IS - 1
SP - 19
EP - 23
AB - We introduce the concept of Sheffer operation in ortholattices and, more generally, in lattices with antitone involution. By using this, all the fundamental operations of an ortholattice or a lattice with antitone involution are term functions built up from the Sheffer operation. We list axioms characterizing the Sheffer operation in these lattices.
LA - eng
KW - ortholattice; orthocomplementation; lattice with antitone involution; Sheffer operation; lattice with antitone involution; ortholattice; Sheffer operation; ortho-Sheffer operation
UR - http://eudml.org/doc/32449
ER -
References
top- Birkhoff G.: Lattice Theory., Proc. Amer. Math. Soc., Providence, R. I, , third edition, 1967. (1967) MR0227053
- Grätzer G.: General Lattice Theory., Birkhäuser Verlag, Basel, , second edition, 1998. (1998) MR1670580
- Sheffer H. M., A set of five independent postulates for Boolean algebras, Trans. Amer. Math. Soc. 14 (1913), 481–488. (1913) MR1500960
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