Pregled bibliografske jedinice broj: 137154
Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices
Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices // International Journal of Theoretical Physics, 42 (2003), 12; 2797-2805 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 137154 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Equivalences, Identities, Symmetric Differences, and Congruences in Orthomodular Lattices
Autori
Megill, Norman D. ; Pavičić, Mladen
Izvornik
International Journal of Theoretical Physics (0020-7748) 42
(2003), 12;
2797-2805
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
quantum logic; orthomodular lattice; quantum identity; equivalence relation; congruence relation; symmetric difference.
Sažetak
It is shown that operations of equivalence cannot serve for building algebras which would induce orthomodular lattices as the operations of implication can. Several properties of equivalence operations have been investigated. Distributivity of equivalence terms and several other 3 variable expressions involving equivalence terms have been proved to hold in any orthomodular lattice. Symmetric differences have been shown to reduce to complements of equivalence terms. Some congruence relations related to equivalence operations and symmetric differences have been considered.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
POVEZANOST RADA
Poveznice na cjeloviti tekst rada:
Pristup cjelovitom tekstu rada www.arxiv.org www.springerlink.comCitiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- The INSPEC Science Abstracts series
- Mathematical Reviews
