1. Factor principal congruences and Boolean products in filtral varieties
| Title | Factor principal congruences and Boolean products in filtral varieties |
|---|---|
| Author info | Brian 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 |
| Language | English |
| Country | Switzerland |
| Annotation | 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 | Link na plný text Link na plný text |
| Public work category | ADC |
| No. of Archival Copy | 54297 |
| Catal.org. | BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici |
| Database | xpca - PUBLIKAČNÁ ČINNOSŤ |
| References | PERIODIKÁ-Súborný záznam periodika |