Operators on MV-algebras and their representations

PASEKA, Jan. Operators on MV-algebras and their representations. FUZZY SETS AND SYSTEMS. AMSTERDAM: Elsevier Science, 2013, vol. 232, SI, p. 62-73. ISSN 0165-0114. Available from: https://dx.doi.org/10.1016/j.fss.2013.02.010.

Basic information

Original name

Operators on MV-algebras and their representations

Authors

PASEKA, Jan (203 Czech Republic, guarantor, belonging to the institution)

Edition

FUZZY SETS AND SYSTEMS, AMSTERDAM, Elsevier Science, 2013, 0165-0114

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 1.880

RIV identification code

RIV/00216224:14310/13:00070834

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1016/j.fss.2013.02.010

UT WoS

000327170400006

Keywords in English

Tense MV-algebras; Representation theory; Modal operator; Non-classical logic

Tags

AKR, rivok

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Abstract

V originále

A crucial problem concerning (tense) operators on MV-algebras is their representations. Having an MV-algebra with (tense) operators, we can ask if there exists a frame yielding a representation of this MV-algebra. We solve this problem for semisimple MV-algebras. (C) 2013 Elsevier B.V. All rights reserved.

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Links

EE2.3.20.0051, research and development project

Name: Algebraické metody v kvantové logice