Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: generalized Boolean quasiring

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Ring-like structures with unique symmetric difference related to quantum logic

100%

Dorninger D., Länger H., Maczyński M.

Discussiones Mathematicae - General Algebra and Applications

2001

tom 21

nr 2

239-253

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.

Effect algebras and ring-like structures

75%

Beltrametti E., Maczyński M.

Discussiones Mathematicae - General Algebra and Applications

2003

tom 23

nr 1

63-79

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.

Some distributivities in GBbi-QRs characterizing Boolean rings

75%

Kaleta J.

Discussiones Mathematicae - General Algebra and Applications

2004

tom 24

nr 1

115-124

This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.

Ograniczanie wyników

3 Discussiones Mathematicae - General Algebra and Applications

2 Maczyński M.

1 Beltrametti E.

1 Dorninger D.

1 Kaleta J.

1 Länger H.

1 2004

1 2003

1 2001

Wyniki wyszukiwania

Ring-like structures with unique symmetric difference related to quantum logic

Effect algebras and ring-like structures

Some distributivities in GBbi-QRs characterizing Boolean rings