Počet záznamov: 1
Factor principal congruences and Boolean products in filtral varieties
Názov Factor principal congruences and Boolean products in filtral varieties Aut.údaje Brian A. Davey, Miroslav Haviar Autor Davey Brian A. (50%)
Spoluautori Haviar Miroslav 1965- (50%) UMBFP10 - Katedra matematiky
Zdroj.dok. Algebra Universalis. Vol. 85, no. 19 (2024), pp. 1-23. - Basel : Springer Nature Switzerland AG, 2024 Kľúč.slová algebra - algebra Boolean algebra kongruencie Form.deskr. články - journal articles Jazyk dok. angličtina Krajina Švajčiarsko Anotácia Motivated 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. URL https://link.springer.com/article/10.1007/s00012-024-00846-8 Kategória publikačnej činnosti ADC Číslo archívnej kópie 54297 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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Počet záznamov: 1