Temat: ring-like structure - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Some distributivities in GBbi-QRs characterizing Boolean rings
Autorzy:: Kaleta, Joanna
Powiązania:: https://bibliotekanauki.pl/articles/728918.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: quasigroup
generalized Boolean bi-quasiring
generalized Boolean quasiring
Boolean ring
ring-like structure
axiomatic quantum mechanics
quantum logic
Opis:: 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.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 115-124
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

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