Test spaces, pseudo-effect algebras, and tensor product of pseudo-effect algebras

• Autorzy: Dvurečenskij A.
• Języki publikacji: EN

Abstrakty

EN

Inspiring the ideas of the test spaces of effect algebras, we introduce test spaces of pseudo-effect algebras. We show that there is a one-to-one correspondence among algebraic test spaces and pseudo-effect algebras. This correspondence gives a test on a pseudo-effect algebra as a decomposition of unity, which corresponds to hypothesis in the statistical models. This correspondence allows us to define a tensor product of pseudo-effect algebras as well as bounded Boolean power. In addition, we introduce PMV-test spaces which forces pseudo MV-algebras.

Słowa kluczowe

EN

test space; event; pseudo-effect algebra; pseudo MV-algebra; PMV-test space

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 4
• Strony: 699--715
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Dvurečenskij A.

• Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia

• Mathematical Institute Slovak Academy of Sciences Stefanikova 49 Sk-814 73 Bratislava, Slovakia,

Bibliografia

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