Factor principal congruences and Boolean products in filtral varieties
Načítavam...
Súbory
Dátum
2024
Autori
Názov časopisu
ISSN časopisu
Názov zväzku
Vydavateľ
Springer Nature Switzerland AG : Basel
ISBN
ISSN
0002-5240
1420-8911
1420-8911
Abstrakt
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–Ploščica 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.
Popis
In: Algebra Universalis. Basel : Springer Nature Switzerland AG, 2024. ISSN 0002-5240. Vol. 85, no. 19 (2024), pp. 1-23.
Kľúčové slová
algebra, Boolean algebra, kongruencie
Výstup z projektu
VEGA 1/0152/22 Usporiadané algebraické štruktúry
Citácia
Práva a licenčné podmienky
© autor
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess