Observables on lexicographic MV-algebras

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Observables on lexicographic MV-algebras

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Observables on lexicographic MV-algebras

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

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

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS

ISSN

0308-1079

e-ISSN

—

Svazek periodika

48

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

37

Strana od-do

738-774

Kód UT WoS článku

000477118800001

EID výsledku v databázi Scopus

2-s2.0-85073087939