About: The Category of MV-pairs

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. 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. (en)
Title	The Category of MV-pairs The Category of MV-pairs (en)
skos:prefLabel	The Category of MV-pairs The Category of MV-pairs (en)
skos:notation	RIV/61988987:17610/09:A1000RFB!RIV10-MSM-17610___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6198898701)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Holčapek, Michal
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ostravská univerzita v Ostravě / Centrum excelence IT4Innovations, divize OU, Ústav pro výzkum a aplikace fuzzy modelování
http://linked.open...dnocenehoVysledku	305984
http://linked.open...ai/riv/idVysledku	RIV/61988987:17610/09:A1000RFB
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	boolean algebra; MV-pair; effect algebra (en)
http://linked.open.../riv/klicoveSlovo	effect algebra MV-pair boolean algebra
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[C0C1FD15995E]
http://linked.open...i/riv/nazevZdroje	LOG J IGPL
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	17
http://linked.open...iv/tvurceVysledku	Holčapek, Michal Di Nola, Antonio Jenča, Gejza
http://linked.open...n/vavai/riv/zamer	Logické a algebraické metody pro zpracování informací zatížených neurčitostí a jejich použití ve fuzzy modelování
issn	1367-0751
number of pages	18 (xsd:int)
http://localhost/t...ganizacniJednotka	17610

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