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    TitleFactor principal congruences and Boolean products in filtral varieties
    Author infoBrian A. Davey, Miroslav Haviar
    Author Davey Brian A. (50%)
    Co-authors Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
    Source document Algebra Universalis. Vol. 85, no. 19 (2024), pp. 1-23. - Basel : Springer Nature Switzerland AG, 2024
    Keywords algebra - algebra   Boolean algebra   kongruencie  
    Form. Descr.články - journal articles
    LanguageEnglish
    CountrySwitzerland
    AnnotationMotivated by Haviar and Ploščica's 2021 characterisation of Boolean products of simple De Morgan algebras, we investigate Boolean products of simple algebras in filtral varieties. We provide two main theorems. The first yields Werner's Boolean-product representation of algebras in a discriminator variety as an immediate application. The second, which applies to algebras in which the top congruence is compact, yields a generalisation of the Haviar–Ploščcica result to semisimple varieties of Ockham algebras. The property of having factor principal congruences is fundamental to both theorems. While major parts of our general theorems can be derived from results in the literature, we offer new, self-contained and essentially elementary proofs.
    URLhttps://link.springer.com/article/10.1007/s00012-024-00846-8
    Public work category ADC
    No. of Archival Copy54297
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
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