Observables on lexicographic MV-algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73597345" target="_blank" >RIV/61989592:15310/19:73597345 - isvavai.cz</a>

Result on the web

<a href="https://www.tandfonline.com/doi/full/10.1080/03081079.2019.1643338" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/03081079.2019.1643338</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/03081079.2019.1643338" target="_blank" >10.1080/03081079.2019.1643338</a>

Result language

angličtina

Original language name

Observables on lexicographic MV-algebras

Original language description

We study observables on a special kind of MV-algebras which are lexicographic MV-algebras, i.e. they are isomorphic to MV-algebras of the form M = Gamma (H - (x) over right arrow G, (u, 0), where (H, u) is a unital subgroup of (R, 1) and G is a Dedekind sigma-complete l-group. Observables are a special kind of sigma-homomorphisms defined on the Borel sigma-algebra of the real line with values in the lexicographic MV-algebra. They model measurable functions. Spectral resolution is a system of elements of the MV-algebra indexed by real numbers which is monotone, &quot;left continuous&quot;, and going to 0 and 1 if t goes to -infinity and to +infinity, respectively. The main task of the paper is to show when does a spectral resolution [x(t): t is an element of R] determine an observable x such that x((-infinity,t)) = x(t) for each t is an element of R.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS

ISSN

0308-1079

e-ISSN

—

Volume of the periodical

48

Issue of the periodical within the volume

7

Country of publishing house

GB - UNITED KINGDOM

Number of pages

37

Pages from-to

738-774

UT code for WoS article

000477118800001

EID of the result in the Scopus database

2-s2.0-85073087939