The Category of MV-pairs

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F09%3AA1000RFB" target="_blank" >RIV/61988987:17610/09:A1000RFB - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The Category of MV-pairs

Original language description

An MV-pair is a pair (B,G), where B is a Boolean algebra and G is a subgroup of the automorphism group of B satisfying certain condition. Recently it was proved by one of the authors that for an MV-pair (B,G), ~G is an effect-algebraic congruence and B/~G is an MV-algebra. Moreover, every MV-algebra M can be represented by an MV-pair in this way. In this paper we show that one can define a suitable category of MV-pairs in such a way that there exist a faithful functor from the category of MV-algebras to the forementioned category and a functor in the reversed direction.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

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

Name of the periodical

LOG J IGPL

ISSN

1367-0751

e-ISSN

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Volume of the periodical

17

Issue of the periodical within the volume

4

Country of publishing house

GB - UNITED KINGDOM

Number of pages

18

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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