TopologicalStructuresofMV-Algebras

TopologicalStructuresofMV-Algebras

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Part of #TopologicalStructuresofMV-Algebras# :

Publishing year : 2011

Conference : Regional Conference on Modern Research in Mathematics

Number of pages : 8

Abstract: InthispaperweintroducethenotionofatopologicalMV-algebra, I -adic topologyanditscompletion.Someoftheresultsaresimilar tothoseofcommutativeringsbuttheabsenceofadistributivelawconcludethatMV-algebrasarenotringsandrequiresareformulation oftheresultsknowninringtheory.Ifwedenotethecompletionof Aby A thenweprovethatthemap: A – A isinjectiveifandonlyifthetopologyon A isHausdor.AlsoweprovethatanyMV-algebraA is {0} -adic complete.