The Role of Halaš Identity in Orthomodular Lattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2014)
- Volume: 53, Issue: 1, page 19-24
- ISSN: 0231-9721
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topChajda, Ivan. "The Role of Halaš Identity in Orthomodular Lattices." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 53.1 (2014): 19-24. <http://eudml.org/doc/261957>.
@article{Chajda2014,
abstract = {We prove that a certain identity introduced by R. Halaš for classifying basic algebras can be used for characterizing orthomodular lattices in the class of ortholattices with antitone involutions on every principal filter.},
author = {Chajda, Ivan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {ortholattice; orthomodular lattice; antitone involution; principal filter; basic algebra; orthomodular lattices; basic algebras; ortholattices},
language = {eng},
number = {1},
pages = {19-24},
publisher = {Palacký University Olomouc},
title = {The Role of Halaš Identity in Orthomodular Lattices},
url = {http://eudml.org/doc/261957},
volume = {53},
year = {2014},
}
TY - JOUR
AU - Chajda, Ivan
TI - The Role of Halaš Identity in Orthomodular Lattices
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2014
PB - Palacký University Olomouc
VL - 53
IS - 1
SP - 19
EP - 24
AB - We prove that a certain identity introduced by R. Halaš for classifying basic algebras can be used for characterizing orthomodular lattices in the class of ortholattices with antitone involutions on every principal filter.
LA - eng
KW - ortholattice; orthomodular lattice; antitone involution; principal filter; basic algebra; orthomodular lattices; basic algebras; ortholattices
UR - http://eudml.org/doc/261957
ER -
References
top- Beran, L., Orthomodular Lattices – Algebraic Approach, Academia & D. Reidel Publ. Comp, Praha & Dordrecht, 1984. (1984) MR0785005
- Chajda, I., Basic algebras and their applications, an overview, In: Proc. of the Salzburg Conference AAA81, Contributions to General Algebra 20, Verlag J. Heyn, Klagenfurt, 2011, 1–10. (2011) MR2908429
- Chajda, I., 10.7151/dmgaa.1149, Discuss. Math., General Algebra Appl. 29 (2009), 21–33. (2009) Zbl1194.06005MR2598600DOI10.7151/dmgaa.1149
- Chajda, I., Halaš, R., Kühr, J., Distributive lattices with sectionally antitone involutions, Acta Sci. Math. (Szeged) 71 (2005), 19–33. (2005) Zbl1099.06006MR2160352
- Chajda, I., Halaš, R., Kühr, J., 10.1007/s00012-008-2086-9, Algebra Universalis 60 (2009), 63–90. (2009) Zbl1219.06013MR2480632DOI10.1007/s00012-008-2086-9
- Chajda, I., Halaš, R., Kühr, J., Semilattice Structures, Heldermann Verlag, Lemgo, Germany, 2007. (2007) Zbl1117.06001MR2326262
- Kalmbach, G., Orthomodular Lattices, Academic Press, London–New York, 1983. (1983) Zbl0528.06012MR0716496
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