Morphisms on EMV-algebras and their applications

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73589840" target="_blank" >RIV/61989592:15310/18:73589840 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007%2Fs00500-018-3039-7" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-018-3039-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00500-018-3039-7" target="_blank" >10.1007/s00500-018-3039-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Morphisms on EMV-algebras and their applications

Popis výsledku v původním jazyce

For a new class of algebras, called EMV-algebras, every idempotent element a determines an MV-algebra which is important for the structure of the EMV-algebra. Therefore, instead of standard homomorphisms of EMV-algebras, we introduce EMV-morphisms as a family of MV-homomorphisms from MV-algebras [0, a] into other ones. EMV-morphisms enable us to study categories of EMV-algebras where objects are EMV-algebras and morphisms are special classes of EMV-morphisms. The category is closed under product. In addition, we define free EMV-algebras on a set X with respect to EMV-morphisms. If X is finite, then a free EMV-algebra on X is termwise equivalent to the free MV-algebra on X. For an infinite set X, the same is true introducing a so-called weakly free EMV-algebra.

Název v anglickém jazyce

Morphisms on EMV-algebras and their applications

Popis výsledku anglicky

For a new class of algebras, called EMV-algebras, every idempotent element a determines an MV-algebra which is important for the structure of the EMV-algebra. Therefore, instead of standard homomorphisms of EMV-algebras, we introduce EMV-morphisms as a family of MV-homomorphisms from MV-algebras [0, a] into other ones. EMV-morphisms enable us to study categories of EMV-algebras where objects are EMV-algebras and morphisms are special classes of EMV-morphisms. The category is closed under product. In addition, we define free EMV-algebras on a set X with respect to EMV-morphisms. If X is finite, then a free EMV-algebra on X is termwise equivalent to the free MV-algebra on X. For an infinite set X, the same is true introducing a so-called weakly free EMV-algebra.

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

<a href="/cs/project/GA15-15286S" target="_blank" >GA15-15286S: Algebraické, vícehodnotové a kvantové struktury pro modelování neurčitosti</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

SOFT COMPUTING

ISSN

1432-7643

e-ISSN

—

Svazek periodika

22

Číslo periodika v rámci svazku

22

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

7519-7537

Kód UT WoS článku

000448418300017

EID výsledku v databázi Scopus

2-s2.0-85045039985