Valuation and metric on a lattice effect algebra

• Autorzy: Khare M. , Gupta S.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we have derived some properties of the pseudo-metric introduced by Riećanova on a lattice effect algebra E corresponding to a valuation u on E, which turns out to be a metric if u happens to be faithful. Using these properties we have been able to prove that this metric is complete. Also it is observed that the resulting metric space is convex if and only if w is non-atomic if and only if E is atomless.

Słowa kluczowe

EN

lattice effect algebra; valuation; modular function; convexity

PL

krata; waluacja; funkcja modularna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 2
• Strony: 249--258
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Khare M.

autor

Gupta S.

• Department of Mathematics University of Allahabad, Allahabad 211 001, India,

Bibliografia

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