Temat: symmetric - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Ring-like structures with unique symmetric difference related to quantum logic
Autorzy:: Dorninger, Dietmar
Länger, Helmut
Maczyński, Maciej
Powiązania:: https://bibliotekanauki.pl/articles/729037.pdf
Data publikacji:: 2001
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: generalized Boolean quasiring
symmetric difference
quantum logic
Opis:: Ring-like quantum structures generalizing Boolean rings and having the property that the terms corresponding to the two normal forms of the symmetric difference in Boolean algebras coincide are investigated. Subclasses of these structures are algebraically characterized and related to quantum logic. In particular, a physical interpretation of the proposed model following Mackey's approach to axiomatic quantum mechanics is given.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 239-253
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Effect algebras and ring-like structures
Autorzy:: Beltrametti, Enrico
Maczyński, Maciej
Powiązania:: https://bibliotekanauki.pl/articles/728948.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: generalized Boolean quasiring
effect algebra
ring-like structure
quantum logics
axiomatic quantum mechanics
state-supported probability
symmetric difference
Opis:: The dichotomic physical quantities, also called propositions, can be naturally associated to maps of the set of states into the real interval [0,1]. We show that the structure of effect algebra associated to such maps can be represented by quasiring structures, which are a generalization of Boolean rings, in such a way that the ring operation of addition can be non-associative and the ring multiplication non-distributive with respect to addition. By some natural assumption on the effect algebra, the associativity of the ring addition implies the distributivity of the lattice structure corresponding to the effect algebra. This can be interpreted as another characterization of the classicality of the logical systems of propositions, independent of the characterizations by Bell-like inequalities.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 1; 63-79
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja