Orthogonal sets in efect algebras

• Autorzy: Riecanova Z.
• Języki publikacji: EN

Abstrakty

EN

We show that for a lattice effect algebra two conceptions of completeness (o-completeness) coincide. Moreover, a separable effect algebra is complete if and only if it is cr-complete. Further, in an Archimedean atomic lattice effect algebra to every nonzero element x there is a ^-orthogonal system G of not necessary different atoms such that x = G. A lattice effect algebra E is complete if and only if every block of E is complete. Every atomic Archimedean lattice effect algebra is a union of atomic blocks, since each of its elements is a sum of a ^-orthogonal system of atoms.

Słowa kluczowe

EN

effect algebras; orthogonal systems; MV-algebra

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 3
• Strony: 525--532
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Riecanova Z.

• Department of Mathematics Faculty of Electrical Engineering and Information Technology Slovak Technical University Ilkovicova 3 812 19 Bratislava, Slovak Republic

Bibliografia

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